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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 Brs4 T.~Bridgeland. \newblock Stability conditions on a non-compact Calabi-Yau threefold. \newblock \em Comm.~Math.~Phys., Vol. 266, pp. 715--733, 2006. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
0
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-Mills and other gauge theories in quantum field theory, Supersymmetric field theories in quantum mechanics, Renormalization group methods applied to problems 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), Sheaves in algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), \(4\)-folds, Representations of quivers and partially ordered sets
0
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. Naka, \textit{Various wrapped branes from gauged supergravities}, hep-th/0206141 [INSPIRE]. Supergravity, Kaluza-Klein and other higher-dimensional theories, Yang-Mills and other gauge theories in quantum field theory, 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)
0
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 Ben--Bassat O.: Mirror symmetry and generalized complex manifolds. J. Geom. Phys. 56, 533--558 (2006) Calabi-Yau manifolds (algebro-geometric aspects), Other complex differential geometry, Connections (general theory), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
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)
0
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)
0
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.R. Morrison, D.S. Park and W. Taylor, \textit{Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces}, arXiv:1610.06929 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), Yang-Mills and other gauge theories in quantum field theory
0
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 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric field theories in quantum mechanics, Dimensional compactification in quantum field theory, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
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. Vafa, \textit{The string landscape and the swampland}, hep-th/0509212 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Moduli problems for differential geometric structures, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Quantization of the gravitational field
0
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. Del Zotto, J.J. Heckman and D.R. Morrison, 6\textit{D SCFTs and Phases of} 5\textit{D Theories}, \textit{JHEP}\textbf{09} (2017) 147 [arXiv:1703.02981] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Nonperturbative methods of renormalization applied to problems in quantum field theory, Topological field theories in quantum mechanics, Finite-dimensional groups and algebras motivated by physics and their representations, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.)
0
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), Variation of Hodge structures (algebro-geometric aspects)
0
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: 10.1016/S0550-3213(02)00577-1 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Unified quantum theories, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics
0
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.J. Dixon, \textit{Some world sheet properties of superstring compactifications, on orbifolds and otherwise}, in \textit{Proceedings, Summer Workshop in High-energy Physics and Cosmology: Superstrings, Unified Theories and Cosmology}, Trieste, Italy, 29 June-7 August 1987 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Picard schemes, higher Jacobians, Applications of deformations of analytic structures to the sciences, Applications of compact analytic spaces to the sciences
0
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 Gaines, B.: (0,2)-deformations and the Hilbert scheme 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, Applications of Lie groups to the sciences; explicit representations, Quantum field theory on curved space or space-time backgrounds, Calabi-Yau manifolds (algebro-geometric aspects), Topology and geometry of orbifolds
0
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. Misra, On issues in Swiss cheese compactifications, Mod. Phys. Lett. A 23 (2008) 3031 [ arXiv:0809.5149 ] [ SPIRES ]. String and superstring theories in gravitational theory, Kaluza-Klein and other higher-dimensional theories, Relativistic cosmology, Black holes, Calabi-Yau manifolds (algebro-geometric aspects)
0
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 V.A. Belavin, Modular Integrals in Minimal Super Liouville Gravity, Theor. Math. Phys. 161 (2009) 1361 [ arXiv:0902.4407 ] [ SPIRES ]. 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, Quantization of the gravitational field, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
0
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.P. Herzog and R.L. Karp, \textit{On the geometry of quiver gauge theories (Stacking exceptional collections)}, \textit{Adv. Theor. Math. Phys.}\textbf{13} (2009) [hep-th/0605177] [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau theory (complex-analytic aspects)
0
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 Pantev, T.; Sharpe, E.: Glsm\?s for gerbes (and other toric stacks), Adv. theor. Math. phys. 10, 77-121 (2006) Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Toric varieties, Newton polyhedra, Okounkov bodies, Relationships between surfaces, higher-dimensional varieties, and physics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
0
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 Oberdieck, G., Pandharipande, R.: Curve counting on \(K3\times E\), the Igusa cusp form \(\chi _{10}\), and descendent integration. In: Faber, C., Farkas, G., van der Geer, G. (eds.) K3 Surfaces and Their Moduli. Birkhauser Prog. Math. \textbf{315}, 245-278 (2016) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces
0
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 Lau, S-C; Tseng, L-S; Yau, S-T, Non-Kähler SYZ mirror symmetry, Comm. Math. Phys., 340, 145-170, (2015) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Mirror symmetry (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
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 Li J., Song Y.S.: Open string instantons and relative stable morphisms. Adv. Theor. Math. Phys. 5, 67--91 (2002) 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, Topological field theories in quantum mechanics
0
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 Grimm, TW; Louis, J., The effective action of N\ =\ 1 Calabi-Yau orientifolds, Nucl. Phys., B 699, 387, (2004) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Relationships between surfaces, higher-dimensional varieties, and physics
0
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 Diaconescu, D.-E., Donagi, R., Dijkgraaf, R., Hofman, C., Pantev, T.: Geometric transitions and integrable systems. Nucl. Phys. B 752(3), 329--390 (2006) Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau manifolds (algebro-geometric aspects), Applications of deformations of analytic structures to the sciences, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics
0
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.P. Braun, C.R. Brodie and A. Lukas, \textit{Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds}, arXiv:1706.07688 [INSPIRE]. String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Supersymmetric field theories in quantum mechanics
0
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 Avram, A. C. and Derrick, E. and Jančić, D., On semi-periods, Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems, 471, 1-2, 293-308, (1996) Period matrices, variation of Hodge structure; degenerations, Structure of families (Picard-Lefschetz, monodromy, etc.), Calabi-Yau manifolds (algebro-geometric aspects), Compact complex \(3\)-folds, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
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 Research exposition (monographs, survey articles) pertaining to quantum theory, Yang-Mills and other gauge theories in quantum field theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Supersymmetric field theories in quantum mechanics
0
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 Transcendental methods of algebraic geometry (complex-analytic aspects), Lagrangian submanifolds; Maslov index, Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Applications of global analysis to structures on manifolds
0
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 Furuuchi, K.; Okuyama, K., D-branes wrapped on fuzzy del Pezzo surfaces, JHEP, 01, 043, (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, Noncommutative geometry methods in quantum field theory, Unified quantum theories, Gravitational interaction in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
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., & Beem, C. (2011). The geometry of D-brane superpotentials. \(Journal of High Energy Physics, 1112\), 060. arXiv:0909.2245 [hep-th]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects)
0
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. D'Auria, S. Ferrara, M. Trigiante and S. Vaula, Scalar potential for the gauged Heisenberg algebra and a non-polynomial antisymmetric tensor theory, Phys. Lett. B 610 (2005) 270 [ hep-th/0412063 ] [ INSPIRE ]. String and superstring theories in gravitational theory, Supergravity, Calabi-Yau manifolds (algebro-geometric aspects)
0
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 History of algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), History of mathematics in the 20th century, Relationships between surfaces, higher-dimensional varieties, and physics, History of differential geometry, History of quantum theory, Applications of differential geometry to physics, Applications of global differential geometry to the sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
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. Katzarkov, M. Kontsevich and T. Pantev, \textit{Hodge theoretic aspects of mirror symmetry}, in \textit{From Hodge theory to integrability and TQFT tt}\(\ast\)\textit{-geometry}, Amer. Math. Soc., Providence RI U.S.A., (2008) [\textit{Proc. Sympos. Pure Math.}\textbf{78} (2008) 87] [arXiv:0806.0107] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects)
0
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, Feynman integrals and graphs; applications of algebraic topology and algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Fano varieties, \(3\)-folds
0
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.D. Joyce, \textit{Compact manifolds with special holonomy}, Oxford University Press, Oxford U.K. (2000). Issues of holonomy in differential geometry, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Research exposition (monographs, survey articles) pertaining to differential geometry, Spin and Spin\({}^c\) geometry, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry
0
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 Borot, G., Eynard, B., Orantin, N.: Abstract loop equations, topological recursion and applications. Commun. Numbers Theory Phys. \textbf{9}(1) (2015). arXiv:1303.5808 [math-ph] Relationships between algebraic curves and physics, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Noncommutative geometry in quantum theory, Groups and algebras in quantum theory and relations with integrable systems, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, KdV equations (Korteweg-de Vries equations), Quantization in field theory; cohomological methods, Eta-invariants, Chern-Simons invariants
0
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 Aharony, O.; Kachru, S.; Silverstein, E., \textit{new N} = 1 \textit{superconformal field theories in four-dimensions from D-brane probes}, Nucl. Phys., B 488, 159, (1997) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
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 Zhou J. Some observations on Gopakumar-Vafa invariants of some local Calabi-Yau geometries. Nankai Tracts Math, 2005, 10: 513--522 Calabi-Yau theory (complex-analytic aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, 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
0
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. Behrend, \textit{Donaldson-Thomas invariants via microlocal geometry}, math.AG/0507523. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
0
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.R. Douglas, \textit{Calabi-Yau metrics and string compactification}, \textit{Nucl. Phys.}\textbf{B 898} (2015) 667 [arXiv:1503.02899] [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Kähler manifolds, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics
0
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, Homotopy theory and fundamental groups in algebraic geometry, Motivic cohomology; motivic homotopy theory, Orbifold cohomology, Topology of vector bundles and fiber bundles, Spectral sequences, hypercohomology, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
0
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 Balasubramanian, V.; Berglund, P.; Garcia-Etxebarria, I., Toric lego: A method for modular model building, JHEP, 01, 076, (2010) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Unified quantum theories, Supersymmetric field theories in quantum mechanics, Symmetry breaking in quantum theory
0
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 Dominic, P.; Tripathy, PK, Non-supersymmetric stringy attractors, JHEP, 01, 030, (2012) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Black holes, Supersymmetric field theories in quantum mechanics, Attractors, Calabi-Yau manifolds (algebro-geometric aspects)
0
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 Blaszczyk, M.; Groot Nibbelink, S.; Loukas, O.; Ramos-Sánchez, S., Non-supersymmetric heterotic model building, JHEP, 10, 119, (2014) 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
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), Grassmannians, Schubert varieties, flag manifolds
0
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 Givental, Alexander, A mirror theorem for toric complete intersections.Topological field theory, primitive forms and related topics, Kyoto, 1996, Progr. Math. 160, 141-175, (1998), Birkhäuser Boston, Boston, MA Calabi-Yau manifolds (algebro-geometric aspects), Complete intersections, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
0
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. Lima, H. Lü, B.A. Ovrut, C.N. Pope, Instanton moduli and brane creation, to appear in Nucl. Phys. B, hep-th/9903001. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Black holes, String and superstring theories in gravitational theory, \(K3\) surfaces and Enriques surfaces, Relationships between surfaces, higher-dimensional varieties, and physics
0
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 V. Vologodsky, \textit{Integrality of instanton numbers}, arXiv:0707.4617. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Miscellaneous applications of number theory, Topological field theories in quantum mechanics, Étale and other Grothendieck topologies and (co)homologies
0
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 Curio, G., On the heterotic world-sheet instanton superpotential and its individual contributions, JHEP, 08, 092, (2010) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects)
0
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 and D.R. Morrison, \textit{String theory on K}3 \textit{surfaces}, in \textit{Mirror Symmetry II}, B. Greene and S.-T. Yau eds., International Press (1997), hep-th/9404151 [INSPIRE]. \(K3\) surfaces and Enriques surfaces, 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, Calabi-Yau manifolds (algebro-geometric aspects)
0
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. Bigazzi, A.L. Cotrone and J. Tarrío, \textit{Hydrodynamics of fundamental matter}, \textit{JHEP}\textbf{02} (2010) 083 [arXiv:0912.3256] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Transport processes in time-dependent statistical mechanics, Statistical mechanics of plasmas, Statistical mechanics of liquids, Calabi-Yau manifolds (algebro-geometric aspects)
0
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. Alim et al., \textit{Wall-crossing holomorphic anomaly and mock modularity of multiple M} 5\textit{-branes}, arXiv:1012.1608 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Statistical thermodynamics, Calabi-Yau manifolds (algebro-geometric aspects)
0
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 Fujii, S., Kanno, H., Moriyama, S., Okada, S.: Instanton calculus and chiral one-point functions in supersymmetric gauge theories. Adv. Theor. Math. Phys. 12(6), 1401--1428 (2008) 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, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
0
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 Topological field theories in quantum mechanics, String and superstring theories in gravitational theory, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Groups and algebras in quantum theory and relations with integrable systems, Quantum field theory on lattices, Nonperturbative methods of renormalization applied to problems in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
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. Kim, Quantum hyperplane section principle for concavex decomposable vector bundles, J. Korean Math. Soc. 37 (2000), no. 3, 455--461. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Homogeneous spaces and generalizations, Calabi-Yau manifolds (algebro-geometric aspects)
0
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 Audin, M.: Cohomologie quantique. Astérisque 241, 29-58 (1997) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Topological field theories in quantum mechanics, Symplectic aspects of Floer homology and cohomology, Calabi-Yau manifolds (algebro-geometric aspects), Moduli problems for topological structures, Spaces of embeddings and immersions, Moduli problems for differential geometric structures, Complex-analytic moduli problems, Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
0
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. Blumenhagen, (0\(,\) 2) \textit{Target space duality, CICYs and reflexive sheaves}, \textit{Nucl. Phys.}\textbf{B 514} (1998) 688 [hep-th/9710021] [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Complete intersections, Toric varieties, Newton polyhedra, Okounkov bodies
0
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 Katz, SH; Sharpe, E., \textit{notes on certain} (0, 2) \textit{correlation functions}, Commun. Math. Phys., 262, 611, (2006) 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 holomorphic fiber spaces to the sciences
0
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 Banagl M.: Singular spaces and generalized Poincaré complexes. Electron. Res. Announc. Math. Sci. 16, 63--73 (2009) Intersection homology and cohomology in algebraic topology, Poincaré duality spaces, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Eckmann-Hilton duality, Extension and compression of mappings in algebraic topology
0
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 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds
0
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 Buchbinder, EI, Five-brane dynamics and inflation in heterotic M-theory, Nucl. Phys., B 711, 314, (2005) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, \(3\)-folds, Relationships between surfaces, higher-dimensional varieties, and physics
0
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 Beasley, C.; Heckman, JJ; Vafa, C., \textit{GUTs and exceptional branes in F-theory} -- \textit{II: experimental predictions}, JHEP, 01, 059, (2009) 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), Computational methods for problems pertaining to quantum theory, Unified quantum theories
0
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. Distler, D.S. Freed and G.W. Moore, \textit{Spin structures and superstrings}, arXiv:1007.4581 [INSPIRE]. 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, Kaluza-Klein and other higher-dimensional theories, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
0
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 Alim, M.; Movasati, H.; Scheidegger, E.; Yau, S.-T., Gauss-Manin connection in disguise: Calabi-Yau threefolds, Commun. Math. Phys., 344, 889-914, (2016) Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
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 Katz, S.; Morrison, DR; Schäfer-Nameki, S.; Sully, J., Tate's algorithm and F-theory, JHEP, 08, 094, (2011) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry
0
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 Curio, G., Standard model bundles of the heterotic string, Int. J. Mod. Phys. A, 21, 1261, (2006) Unified quantum theories, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Finite-dimensional groups and algebras motivated by physics and their representations, Applications of Lie groups to the sciences; explicit representations
0
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 Brini, A.: Open topological strings and integrable hierarchies: remodeling the A-model. Commun. Math. Phys. \textbf{312}, 735 (2012). (arXiv:1102.0281 [hep-th]) Calabi-Yau manifolds (algebro-geometric aspects), Topological field theories in quantum mechanics, Toric varieties, Newton polyhedra, Okounkov bodies, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
0
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), Calabi-Yau theory (complex-analytic aspects)
0
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 Unified quantum theories, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
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. Deligne, \textit{Théorie de Hodge: III} (in French), Publ. Math. I.H.É.S. 44 (1974) 5. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Families, moduli, classification: algebraic theory
0
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., On vector bundles and chiral matter in \(N\) = 1 heterotic compactifications, JHEP, 9901, 011, (1999) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, 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, Applications of compact analytic spaces to the sciences
0
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. Hosono, ''Local mirror symmetry and type IIA monodromy of Calabi--Yau manifolds,'' hep-th/0007071. Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
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 N.C. Leung and C. Vafa, \textit{Branes and toric geometry}, \textit{Adv. Theor. Math. Phys.}\textbf{2} (1998) 91 [hep-th/9711013] [INSPIRE]. Toric varieties, Newton polyhedra, Okounkov bodies, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of differential geometry to physics, Calabi-Yau manifolds (algebro-geometric aspects)
0
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), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Relationships between surfaces, higher-dimensional varieties, and physics
0
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. Witten, \textit{Phases of N} = 2 \textit{theories in two-dimensions}, \textit{Nucl. Phys.}\textbf{B 403} (1993) 159 [hep-th/9301042] [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
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: 10.1016/S0370-2693(00)01068-6 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, \(K3\) surfaces and Enriques surfaces, Relationships between surfaces, higher-dimensional varieties, and physics
0
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. Cao and N. C. Leung, Donaldson-Thomas theory for Calabi-Yau \(4\)-folds. arXiv:math.AG/ 1407.7659. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
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, Supergravity, Unified quantum theories, Symmetry breaking in quantum theory, Supersymmetric field theories in quantum mechanics, Kaluza-Klein and other higher-dimensional theories, Calabi-Yau manifolds (algebro-geometric aspects)
0
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, B.A. Ovrut, T. Pantev and D. Waldram, \textit{Standard model bundles}, \textit{Adv. Theor. Math. Phys.}\textbf{5} (2002) 563 [math/0008010] [INSPIRE]. Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects), Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(3\)-folds, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Unified quantum theories
0
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 Fredrickson, Karl: Generalized compactifications of Batyrev hypersurface families. (2015) Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
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, Black holes, Supergravity, String and superstring theories in gravitational theory, \(K3\) surfaces and Enriques surfaces, Relationships between surfaces, higher-dimensional varieties, and physics
0
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-Mills and other gauge theories in quantum field theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Open systems, reduced dynamics, master equations, decoherence
0
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. Berglund and S.H. Katz, \textit{Mirror symmetry constructions: A review}, hep-th/9406008 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Toric varieties, Newton polyhedra, Okounkov bodies, Applications of compact analytic spaces to the sciences
0
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.R. Douglas, S.H. Katz and C. Vafa, \textit{Small instantons, Del Pezzo surfaces and type-I-prime theory}, \textit{Nucl. Phys.}\textbf{B 497} (1997) 155 [hep-th/9609071] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Rational and ruled surfaces, String and superstring theories in gravitational theory
0
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. Ahn, K. Oh and R. Tatar, Branes, geometry and N = 1 duality with product gauge groups of SO and Sp, hep-th/9707027. 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
0
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. Ablinger, \textit{Computer Algebra Algorithms for Special Functions in Particle Physics}, Ph.D. Thesis, Johannes Kepler University, Linz Austria (2012). Yang-Mills and other gauge theories in quantum field theory, Supersymmetric field theories in quantum mechanics, 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), Exactly solvable models; Bethe ansatz, Research exposition (monographs, survey articles) pertaining to quantum theory
0
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. Fluder, \textit{Kähler Uniformization from Holographic Renormalization Group Flows of M5-branes}, arXiv:1710.09479 [INSPIRE]. Supergravity, Renormalization group methods applied to problems in quantum field theory, Local differential geometry of Hermitian and Kählerian structures, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
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 Aldazabal, G.; Font, A.; Ibáñez, LE; Quevedo, F., \textit{chains of N} = 2\textit{, D} = 4 \textit{heterotic type-II duals}, Nucl. Phys., B 461, 85, (1996) 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
0
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 Dhuria, M.; Misra, A., Towards large volume big divisor D3-D7 'mu-split supersymmetry' and Ricci-flat swiss-cheese metrics, and dimension-six neutrino mass operators, Nucl. Phys. B, 855, 439, (2012) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Unified quantum theories, Weak interaction in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
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. Ecker, \textit{Type IIA string theory on T}\^{}\{6\}\(/\)(\(Z\)\_{}\{2\} {\(\times\)} \(Z\)\_{}\{6\} {\(\times\)} {\(\Omega\)}\(R\))\textit{: model building and string phenomenology with intersecting D}6\textit{-branes}, Ph.D. thesis, Mainz U., Mainz Germany, (2016) [INSPIRE]. 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, Calabi-Yau theory (complex-analytic aspects)
0
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, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of differential geometry to physics, Relationships between surfaces, higher-dimensional varieties, and physics, \(K3\) surfaces and Enriques surfaces
0
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 N. Beisert, V. A. Kazakov, and K. Sakai, ''Algebraic Curve for the SO(6) Sector of AdS/CFT,'' Commun. Math. Phys. 263, 611--657 (2006); arXiv: hep-th/0410253. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Groups and algebras in quantum theory and relations with integrable systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relationships between algebraic curves and integrable systems
0
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)
0
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 Quantum field theory on curved space or space-time backgrounds, Methods of quantum field theory in general relativity and gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Eta-invariants, Chern-Simons invariants, Calabi-Yau manifolds (algebro-geometric aspects)
0
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. S. Acharya, On mirror symmetry for manifolds with exceptional holonomy, Nuclear Physics B524 (1998) 269--282, hep-th/9611036. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Issues of holonomy in differential geometry, Applications of compact analytic spaces to the sciences, Calabi-Yau manifolds (algebro-geometric aspects)
0
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), Model quantum field theories, Local differential geometry of Hermitian and Kählerian structures, Kaluza-Klein and other higher-dimensional theories
0
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, Local differential geometry of Hermitian and Kählerian structures, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
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 Voisin, C.: Variations of Hodge Structure of Calabi-Yau threefolds. Lezioni Lagrange, Scuola Normale Superiore, Pisa (1996) Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, \(3\)-folds, Variation of Hodge structures (algebro-geometric aspects)
0
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 Kaste, P.: On the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-folds. Jhep 9906, 021 (1999) Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
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 Ovrut, BA; Pantev, T.; Reinbacher, R., Invariant homology on standard model manifolds, JHEP, 01, 059, (2004) Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics
0
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 Imaanpur, A.: A 3d topological sigma model and D-branes. Jhep 9909, 010 (1999) Topological field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Calibrations and calibrated geometries, Topological quantum field theories (aspects of differential topology), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0