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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Hunt, B.; Lynker, M.; Schimmrigk, R., Heterotic/type-II duality in D = 4 and string-string duality, Nucl. Phys. Proc. Suppl., 52A, 339, (1997) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of compact analytic spaces to the sciences
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Unified quantum theories, Axiomatic quantum field theory; operator algebras, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Neumann, C.D.D.: The Elliptic genus of Calabi-Yau 3-folds and 4-folds: product formulae and generalized Kac-Moody algebras. J. Geom. Phys. \textbf{29}, 5-12 (1999). hep-th/9607029 Calabi-Yau theory (complex-analytic aspects), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Elliptic genera, Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Other groups and their modular and automorphic forms (several variables), Compact complex \(3\)-folds, Compact complex \(n\)-folds
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Gathmann, A.: Gromov-Witten invariants of hypersurfaces, habilitation thesis. University of Kaiserslautern, (2003) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Hypersurfaces and algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Y.-H. He, \textit{Lectures on D-branes, gauge theories and Calabi-Yau singularities}, hep-th/0408142 [INSPIRE]. Yang-Mills and other gauge theories in quantum field theory, Supersymmetric field theories in quantum mechanics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Braid groups; Artin groups, Applications of group representations to physics and other areas of science
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory J. E. Andersen, L. O. Chekhov, P. Norbury, and R. C. Penner, ''Models of discretized moduli spaces, cohomological field theories, and Gaussian means,'' arXiv:1501.05867v1 (2015). String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Random matrices (probabilistic aspects), Perturbative methods of renormalization applied to problems in quantum field theory, Applications of computability and recursion theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Quantization in field theory; cohomological methods
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory C. Long, L. McAllister and J. Stout, \textit{Systematics of axion inflation in Calabi-Yau hypersurfaces}, arXiv:1603.01259 [INSPIRE]. Astrophysical cosmology, Relativistic cosmology, Local differential geometry of Hermitian and Kählerian structures, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), String and superstring theories in gravitational theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Aspinwall, P.S.: Landau-Ginzburg to Calabi-Yau dictionary for D-branes. J. Math. Phys. \textbf{48} (2007). 10.1063/1.2768185 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory S. Katz, \textit{Elliptically fibered Calabi-Yau threefolds: mirror symmetry and Jacobi forms}, in \textit{String-Math conference}, Paris France, July 2016. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Bianchi, M., From twists and shifts to L-R asymmetric D-branes, Fortsch. Phys., 57, 356, (2009) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Spinor and twistor methods applied to problems in quantum theory, Kaluza-Klein and other higher-dimensional theories, Algebraic moduli problems, moduli of vector bundles
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Narayan, P.; Trivedi, SP, On the stability of non-supersymmetric AdS vacua, JHEP, 07, 089, (2010) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Supergravity, Nonperturbative methods of renormalization applied to problems in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory S.B. Johnson and W. Taylor, \textit{Enhanced gauge symmetry in} 6\textit{D F-theory models and tuned elliptic Calabi-Yau threefolds}, \textit{Fortsch. Phys.}\textbf{64} (2016) 581 [arXiv:1605.08052] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Anomalies in quantum field theory, Supergravity, Kaluza-Klein and other higher-dimensional theories, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric field theories in quantum mechanics, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), Elliptic surfaces, elliptic or Calabi-Yau fibrations, Relationships between algebraic curves and physics
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory T.W. Grimm and D. Vieira Lopes, \textit{The N} = 1 \textit{effective actions of D-branes in Type IIA and IIB orientifolds}, \textit{Nucl. Phys.}\textbf{B 855} (2012) 639 [arXiv:1104.2328] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory R. Pandharipande, R. Thomas, Almost closed 1-forms, 2012. http://arxiv.org/abs/1204.3598. Deformations and infinitesimal methods in commutative ring theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Correia, FP, Hermitian Yang-Mills instantons on resolutions of Calabi-Yau cones, JHEP, 02, 054, (2011) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Soliton solutions, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Berglund, P.; Katz, SH; Klemm, A., Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties, Nucl. Phys., B 456, 153, (1995) Period matrices, variation of Hodge structure; degenerations, Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau manifolds (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Closset, C.; Guo, J.; Sharpe, E., \textit{B-branes and supersymmetric quivers in} 2\(d\), JHEP, 02, 051, (2018) Supersymmetric field theories in quantum mechanics, Topological field theories in quantum mechanics, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Space-time singularities, cosmic censorship, etc.
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory D. Xie, \textit{Network, Cluster coordinates and N} = 2 \textit{theory I}, arXiv:1203.4573 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Yang-Mills and other gauge theories in quantum field theory, Random operators and equations (aspects of stochastic analysis), \(K3\) surfaces and Enriques surfaces
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Liu, H.: M-theory and the Coulomb phase of higher rank DT invariants, J. high energy phys. 1009, 024 (2010) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Calabi-Yau manifolds (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Complete intersections, Compact complex \(3\)-folds, String and superstring theories in gravitational theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory M. Mulase and M. Penkava, \textit{Combinatorial Structure of the Moduli Space of Riemann Surfaces and the KP Equation}, unpublished [http://www.math.ucdavis.edu/~mulase/texfiles/1997moduli.pdf]. Families, moduli of curves (analytic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Coverings of curves, fundamental group, Enumeration in graph theory, Lattice points in specified regions, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Mirror symmetry (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Generalized hypergeometric series, \({}_pF_q\), Mirror symmetry (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Hosono, S., Saito, M-H., Stienstra, J.: On the mirror symmetry conjecture for Schoen's Calabi-Yau 3-folds. In: Integrable systems and algebraic geometry (Kobe/Kyoto, 1997), World Sci. Publishing, River Edge, NJ, 1998, pp. 194--235 Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relations with algebraic geometry and topology, Toric varieties, Newton polyhedra, Okounkov bodies, Relationships between surfaces, higher-dimensional varieties, and physics
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory M. Kontsevich, \textit{Homological Algebra of Mirror Symmetry}, alg-geom/9411018 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Movasati, H, Eisenstein type series for Calabi-Yau varieties, Nucl. Phys. B, 847, 460484, (2011) Unified quantum theories, Yang-Mills and other gauge theories in quantum field theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Moduli, classification: analytic theory; relations with modular forms, Calabi-Yau manifolds (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories in gravitational theory, Dimensional compactification in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory B. Willett and I. Yaakov, \(N\) = 2 \textit{dualities and Z extremization in three dimensions}, arXiv:1104.0487 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Yang-Mills and other gauge theories in mechanics of particles and systems, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory A. Brini, L. Griguolo, D. Seminara and A. Tanzini, \textit{Chern-Simons theory on L}(\textit{p, q}) \textit{lens spaces and Gopakumar-Vafa duality}, \textit{J. Geom. Phys.}\textbf{60} (2010) 417 [arXiv:0809.1610] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, Quantum groups (quantized enveloping algebras) and related deformations, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Rummel, M.; Westphal, A., A sufficient condition for de Sitter vacua in type IIB string theory, \textit{Journal of High Energy Physics}, 2012, 1, article 020, (2012) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Quantum field theory on curved space or space-time backgrounds, Supersymmetric field theories in quantum mechanics, Symmetry breaking in quantum theory, Supergravity, Nonperturbative methods of renormalization applied to problems in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Polishchuk, Alexander and Vaintrob, Arkady, Matrix factorizations and cohomological field theories, Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 714, 1-122, (2016) Derived categories and commutative rings, Relationships between surfaces, higher-dimensional varieties, and physics, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory P.S. Aspinwall, \(K\)3 \textit{surfaces and string duality}, hep-th/9611137 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Compact complex \(n\)-folds, Applications of compact analytic spaces to the sciences
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory P.M.H. Wilson, \textit{The existence of elliptic fibre space structures on Calabi-Yau threefolds}, \textit{Math. Ann.}\textbf{300} (1994) 693 [MR-1314743 (96a:14047)]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory S. Katz, Rational curves on Calabi-Yau manifolds: Verifying predictions of Mirror Symmetry, Algebraic Geometry , Marcel-Dekker, New York, 1994. CMP 95:04 Computational aspects of algebraic curves, Enumerative problems (combinatorial problems) in algebraic geometry, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Bak, A.; Bouchard, V.; Donagi, R., Exploring a new peak in the heterotic landscape, JHEP, 06, 108, (2010) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Fibrations, degenerations in algebraic geometry
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory R. Donagi and E. Witten, \textit{Supermoduli space is not projected}, arXiv:1304.7798 [INSPIRE]. Families, moduli of curves (algebraic), Relationships between algebraic curves and physics, Supervarieties, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Supersymmetric field theories in quantum mechanics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Computational methods for problems pertaining to quantum theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Virasoro and related algebras, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Symmetry breaking in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Douglas, MR; Karp, RL; Lukic, S.; Reinbacher, R., Numerical solution to the Hermitian Yang-Mills equation on the Fermat quintic, JHEP, 12, 083, (2007) Calabi-Yau manifolds (algebro-geometric aspects), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Relationships between surfaces, higher-dimensional varieties, and physics, Kähler-Einstein manifolds, Calabi-Yau theory (complex-analytic aspects), Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Approximation algorithms, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory I. Valenzuela, \textit{Backreaction in axion monodromy,} 4\textit{-forms and the swampland}, PoS(CORFU2016)112 [arXiv:1708.07456] [INSPIRE]. Astrophysical cosmology, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Local differential geometry of Hermitian and Kählerian structures, Gravitational interaction in quantum theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Local differential geometry of Hermitian and Kählerian structures
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Black holes, String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, \(K3\) surfaces and Enriques surfaces
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Period matrices, variation of Hodge structure; degenerations, Applications of compact analytic spaces to the sciences
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory P.M.H. Wilson, \textit{Flops, Type III contractions and Gromov-Witten invariants on Calabi-Yau threefolds}, in \textit{New trends in algebraic geometry} , K. Hulek, M. Reid, C. Peters and F. Catanese eds., London Math. Soc. Lecture Note Ser. volume 264, Cambridge University Press, Cambridge, U.K. (1999) [alg-geom/9707008]. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Rational and birational maps
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Walcher J.: Evidence for tadpole cancellation in the topological string. Comm. Number Theor. Phys. 3, 111--172 (2009) arXiv:0712.2775[hep-th] String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory J.J. Heckman, D.R. Morrison, T. Rudelius and C. Vafa, \textit{Atomic classification of} 6\textit{D SCFTs}, \textit{Fortsch. Phys.}\textbf{63} (2015) 468 [arXiv:1502.05405] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, String and superstring theories in gravitational theory, Yang-Mills and other gauge theories in quantum field theory, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory M. Kontsevich & Y. Soibelman, ``Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants'', Commun. Number Theory Phys.5 (2011) no. 2, p. 231-352 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Variation of Hodge structures (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory K. Becker et al., \textit{Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau} 4 \textit{folds}, \textit{Nucl. Phys.}\textbf{B 480} (1996) 225 [hep-th/9608116] [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Compact complex \(n\)-folds, Applications of compact analytic spaces to the sciences, Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Mark Gross and Bernd Siebert. Mirror symmetry via logarithmic degeneration data, II. \(J. Algebraic Geom.\), 19(4):679-780, 2010. Mirror symmetry (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry, de Rham cohomology and algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Structure of families (Picard-Lefschetz, monodromy, etc.)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Proceedings of conferences of miscellaneous specific interest
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Low-dimensional manifolds of specific dimension 5 or higher, Yang-Mills and other gauge theories in mechanics of particles and systems, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, Algebraic moduli problems, moduli of vector bundles, Arithmetic ground fields (finite, local, global) and families or fibrations, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories in gravitational theory, Relationships between surfaces, higher-dimensional varieties, and physics, Modular and Shimura varieties, \(K3\) surfaces and Enriques surfaces, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Mirror symmetry (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory D'Hoker, E.; Phong, DH, Two-loop vacuum energy for Calabi-Yau orbifold models, Nucl. Phys., B 877, 343, (2013) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Supersymmetric field theories in quantum mechanics, Perturbative methods of renormalization applied to problems in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Goto, Yasuhiro; Livné, Ron; Yui, Noriko, Automorphy of Calabi-Yau threefolds of Borcea-Voisin type over \(\mathbb{Q}\), Commun. Number Theory Phys., 7, 4, 581-670, (2013) Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Elliptic curves over global fields, Global ground fields in algebraic geometry, Families, moduli, classification: algebraic theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory R. Couso-Santamaría, J.D. Edelstein, R. Schiappa and M. Vonk, \textit{Resurgent Transseries and the Holomorphic Anomaly: Nonperturbative Closed Strings in Local \(\mathbb{C}\)}\(\mathbb{P}\)2, \textit{Commun. Math. Phys.}\textbf{338} (2015) 285 [arXiv:1407.4821] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Anomalies in quantum field theory, Perturbative methods of renormalization applied to problems in quantum field theory, Nonperturbative methods of renormalization applied to problems in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Yang, HS; Yun, S., Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons and Mirror Symmetry, Adv. High Energy Phys., 2017, 7962426, (2017) Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Quantization of the gravitational field, String and superstring theories in gravitational theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory M. Aganagic and M. Yamazaki, \textit{Open BPS wall crossing and M-theory}, \textit{Nucl. Phys. B}\textbf{834} (2010) 258 [arXiv:0911.5342] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau manifolds (algebro-geometric aspects), Miscellaneous applications of \(K\)-theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory S.H.H. Tye and S.S.C. Wong, \textit{Helical Inflation and Cosmic Strings}, arXiv:1404.6988 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Gravitational interaction in quantum theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory T. Graber and E. Zaslow, \textit{Open string Gromov-Witten invariants: calculations and a mirror} '\textit{theorem}', hep-th/0109075 [INSPIRE]. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Stephen D. Miller and Gregory Moore, Landau-Siegel zeroes and black hole entropy, Asian J. Math. 4 (2000), no. 1, 183 -- 211. Kodaira's issue. Heights, Real zeros of \(L(s, \chi)\); results on \(L(1, \chi)\), Calabi-Yau manifolds (algebro-geometric aspects), Quantum field theory on curved space or space-time backgrounds, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Black holes
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Jonathan Rosenberg, \textit{Topology, C*-Algebras, and String Duality} (CBMS Regional Conference Series in Mathematics, vol. 111, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the Amer. Math. Soc., Providence, RI, 2009). String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Noncommutative geometry methods in quantum field theory, \(K\)-theory and operator algebras, \(K\)-theory and operator algebras (including cyclic theory), Noncommutative geometry (à la Connes), Fiber bundles in algebraic topology, Homotopy functors in algebraic topology, Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of differential geometry to physics
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory E. Kiritsis, C. Kounas, and D. Lust, Internat. J. Mod. Phys. A, 9, 1361 (1994); hep-th/9308124 (1993). String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Quantum field theory on curved space or space-time backgrounds, Gravitational interaction in quantum theory, Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Brunner, I.; Schomerus, V., D-branes at singular curves of Calabi-Yau compactifications, JHEP, 04, 020, (2000) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories in gravitational theory, Quantization of the gravitational field, Dimensional compactification in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Andreas, B.; Curio, G.; Lüst, D.: N=1 dual string pairs and their massless spectra. Nucl. phys. B 50, 175 (1997) Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of compact analytic spaces to the sciences
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Alexandrov, S.: D-instantons and twistors: some exact results. J. Phys. \textbf{A42}, 335402 (2009). arXiv:0902.2761 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Spinor and twistor methods applied to problems in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Jockers, H.; Soroush, M., Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface, Nucl. Phys., B 821, 535, (2009) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Mirror symmetry (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Singularities in algebraic geometry, Topology and geometry of orbifolds, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Applications of Lie groups to the sciences; explicit representations
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory P. Mayr, Conformal field theories on K3 and three-dimensional gauge theories, JHEP 08 (2000) 042 [ hep-th/9910268 ] [ INSPIRE ]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Representations of quivers and partially ordered sets, Calabi-Yau manifolds (algebro-geometric aspects), Motivic cohomology; motivic homotopy theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Tsurvey Y.~Toda. \newblock Stability conditions and curve counting invariants on Calabi-Yau 3-folds. \newblock \em Kyoto Journal of Mathematics, Vol.~52, pp. 1--50, 2012. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Mirror symmetry (algebro-geometric aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory DOI: 10.1006/aphy.2002.6226 Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Grassmannians, Schubert varieties, flag manifolds
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory F. Cachazo and D. Skinner, \textit{Gravity from Rational Curves in Twistor Space}, \textit{Phys. Rev. Lett.}\textbf{110} (2013) 161301 [arXiv:1207.0741] [INSPIRE]. Topological field theories in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects)
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Mark Gross & P. M. H. Wilson, ''Mirror symmetry via \(3\)-tori for a class of Calabi-Yau threefolds'', Math. Ann.309 (1997) no. 3, p. 505-531 | Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Compact complex \(3\)-folds, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, \(K3\) surfaces and Enriques surfaces
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory M. Kohriki, H. Kunitomo and M. Murata, No-ghost theorem for Neveu-Schwarz string in 0-picture via similarity transformation, Prog. Theor. Phys. Suppl. 188 (2011) 254 [ inSPIRE ]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Ceresole, A., D'Auria, R., Ferrara, S., Lerche, W., Louis, J., Regge, T.: Picard-Fuchs equations, special geometry and target space duality. In: Mirror symmetry, II, vol. 1 of AMS/IP Stud. Adv. Math., pp. 281-353. Amer. Math. Soc., Providence, RI, (1997) Calabi-Yau manifolds (algebro-geometric aspects), Supergravity, String and superstring theories in gravitational theory
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Yu. I. Manin, \textit{Frobenius manifolds, Quantum Cohomology, and Moduli Spaces} (Faktorial, Moscow, 2002) [in Russian]. Calabi-Yau manifolds (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to quantum theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Berg, M.; Buchberger, I.; Schlotterer, O., From maximal to minimal supersymmetry in string loop amplitudes, J. High Energy Phys., 1704, (2017) Supersymmetric field theories in quantum mechanics, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), \(2\)-body potential quantum scattering theory
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Braun, AP; Schäfer-Nameki, S., Compact, singular G\_{}\{2\}-holonomy manifolds and M/heterotic/F-theory duality, JHEP, 04, 126, (2018) String and superstring theories in gravitational theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory P.S. Aspinwall, \(K\)3 \textit{surfaces and string duality}, hep-th/9611137 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Applications of compact analytic spaces to the sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory L. B. Anderson, J. Gray, D. Grayson, Y. H. He and A. Lukas, Yukawa couplings in heterotic compactification, Commun. Math. Phys. 297 (2010), 95-127. Y. H. He, S. J. Lee and A. Lukas, Heterotic models from vector bundles on toric Calabi-Yau manifolds, JHEP 1005 (2010), 071. L. B. Anderson, J. Gray, Y. H. He and A. Lukas, Exploring positive monad bundles and a new heterotic standard model, JHEP 1002 (2010), 054. arXiv: 0911.0865 arXiv: 0911.1569 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau manifolds (algebro-geometric aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory CMS collaboration, \textit{Search for Narrow Resonances using the Dijet Mass Spectrum with 19.6 fb}\^{}\{\(-\)1\}\textit{of pp Collisions at}\( \sqrt{s}=8 \)\textit{TeV}, CMS-PAS-EXO-12-059. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric field theories in quantum mechanics, Symmetry breaking in quantum theory, \(2\)-body potential quantum scattering theory, Blow-up in context of PDEs, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Topology and geometry of orbifolds, Calabi-Yau manifolds (algebro-geometric aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Liu, JT; Minasian, R., \textit{U-branes and T}\^{}\{3\}\textit{fibrations}, Nucl. Phys., B 510, 538, (1998) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of compact analytic spaces to the sciences, Applications of global differential geometry to the sciences
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory L.B. Anderson, J. Gray, A. Lukas and B. Ovrut, \textit{Stabilizing all geometric moduli in heterotic Calabi-Yau vacua}, \textit{Phys. Rev.}\textbf{D 83} (2011) 106011 [arXiv:1102.0011] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Uranga, A. M.: Local models for intersecting brane worlds. Jhep 0212, 058 (2002) String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Benjamin, N.; Kachru, S.; Tripathy, A., Counting spinning dyons in maximal supergravity: the Hodge-elliptic genus for tori, Lett. Math. Phys., 107, 2081, (2017) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Aganagic, M.; Dijkgraaf, R.; Klemm, A.; Mariño, M.; Vafa, C., Topological strings and integrable hierarchies, Comm. Math. Phys., 261, 451-516, (2006) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Model quantum field theories, Calabi-Yau manifolds (algebro-geometric aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Nishinaka, T.; Yamaguchi, S.; Yoshida, Y., Two-dimensional crystal melting and D4-D2-D0 on toric Calabi-Yau singularities, JHEP, 05, 139, (2014) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Other fundamental interactions in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Batyrev, V. V. \&Borisov, L. A., Dual cones and mirror symmetry for generalized Calabi-Yau manifolds, inMirror Symmetry, Vol. II, pp. 71--86. AMS/IP Stud. Adv. Math., 1. Amer. Math. Soc., Providence, RI, 1997. Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories in gravitational theory
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Gates, SJ; Gukov, S.; Witten, E., Two two-dimensional supergravity theories from Calabi-Yau four folds, Nucl. Phys., B 584, 109, (2000) Supergravity, Relationships between surfaces, higher-dimensional varieties, and physics, Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory F.-J. Xu and F.-Z. Yang, Type II/F-theory superpotentials and Ooguri-Vafa invariants of compact Calabi-Yau threefolds with three deformations, arXiv:1206.0445 [ INSPIRE ]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, Finite-dimensional groups and algebras motivated by physics and their representations, Supergravity, Compactifications; symmetric and spherical varieties, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds
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