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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 Sharpe, E.: Notes on correlation functions in (0,2) theories 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 R. Eager, S.A. Selmani and J. Walcher, \textit{Exponential Networks and Representations of Quivers}, arXiv:1611.06177 [INSPIRE]. 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), 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 Anguelova, L.; Lazaroiu, C.: M-theory compactifications on certain 'toric' cones of G2 holonomy String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Issues of holonomy in differential geometry, String and superstring theories in gravitational theory, 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 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, Applications of global differential geometry to the sciences, Issues of holonomy in 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 String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Local differential geometry of Hermitian and Kählerian structures
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), Cluster algebras, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Representations of quivers and partially ordered sets, Derived categories, triangulated categories, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Notions of stability for complex manifolds, 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 E. Sharpe, \textit{Predictions for Gromov-Witten invariants of noncommutative resolutions}, arXiv:1212.5322 [INSPIRE]. Topological field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Grassmannians, Schubert varieties, flag manifolds, Relationships between surfaces, higher-dimensional varieties, and physics, Anomalies 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 Choi, K-S, Extended gauge symmetries in F-theory, JHEP, 02, 004, (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 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 Clemens H., Kley H.P., On an example of Voisin, Michigan Math. J., 2000, 48, 93--119 Parametrization (Chow and Hilbert schemes), 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 S. Hosono, M.-H. Saito and A. Takahashi, \textit{Relative Lefschetz action and BPS state counting}, math/0105148 [INSPIRE]. Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Parametrization (Chow and Hilbert schemes), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), 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 Stoppa J.: Universal covers and the GW/Kronecker correspondence. Commun. Number Theory Phys. 5(2), 1--43 (2011) 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), Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants), 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, Supersymmetric 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 N. Caporaso, M. Cirafici, L. Griguolo, S. Pasquetti, D. Seminara and R.J. Szabo, \textit{Topological strings and large N phase transitions. I. Nonchiral expansion of q-deformed Yang-Mills theory}, \textit{JHEP}\textbf{01} (2006) 035 [hep-th/0509041] [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, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Groups and algebras in quantum theory and relations with integrable systems, 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 Avram, A.C., Kreuzer, M., Mandelberg, M., Skarke, H.: The web of Calabi-Yau hypersurfaces in toric varieties. Nucl. Phys. B \textbf{505}, 625 (1997). hep-th/9703003 Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Pencils, nets, webs in algebraic geometry, Complete intersections, 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 Forbes, B.: Open string mirror maps from Picard -- Fuchs equations on relative cohomology Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Classical real and complex (co)homology in algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, 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 BaMa A.~Bayer and E.~Macri. \newblock The space of stability conditions on the local projective plane. \newblock \em Duke Math.~J., Vol. 160, pp. 263--322, 2011. 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 String and superstring theories in gravitational theory, Kaluza-Klein and other higher-dimensional theories, Dimensional compactification in quantum field 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 Herraez, A.; Ibáñez, LE; Marchesano, F.; Zoccarato, G., The Type IIA Flux Potential, 4-forms and Freed-Witten anomalies, JHEP, 09, 018, (2018) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Anomalies in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Supergravity
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 Zinger, The reduced genus \(1\) Gromov-Witten invariants of Calabi-Yau hypersurfaces, J. Amer. Math. Soc. 22 (2009) 691 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, 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 C. van Enckevort and D. van Straten, \textit{Electronic data base of Calabi-Yau equations}, http://www.mathematik.uni-mainz.de/CYequations/db/. Calabi-Yau manifolds (algebro-geometric aspects), Monodromy; relations with differential equations and \(D\)-modules (complex-analytic 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 Weigand, T.: Heterotic vacua from general (non-)Abelian bundles 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 DOI: 10.1088/0264-9381/25/7/075006 String and superstring theories in gravitational theory, Quantization of the gravitational field, 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 Morrison, D.R., Taylor, W.: Matter and singularities. JHEP \textbf{1201}, 022 (2012). arXiv:1106.3563 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Supergravity, Yang-Mills and other gauge theories 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 Aganagic, M.; Gremm, M.: Exact solutions for some N=2 supersymmetric \(SO(N)\) gauge theories with vectors and spinors. Nucl. phys. B 524, 207 (1998) Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Yang-Mills and other gauge theories in quantum field 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 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, Research exposition (monographs, survey articles) pertaining to 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 String and superstring theories in gravitational theory, Supersymmetric 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 Klemm, D., Rotating BPS black holes in matter-coupled AdS\_{}\{4\} supergravity, JHEP, 07, 019, (2011) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Black holes, Supergravity, Quantum field theory on curved space or space-time backgrounds, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Einstein-Maxwell equations, 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 J. Polchinski, \textit{String theory}, volume 1 and 2, Cambridge Univ. Pr., Cambridge U.K. (1998). String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, 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 P.S. Aspinwall, \textit{D-Branes on toric Calabi-Yau varieties}, arXiv:0806.2612 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Yang-Mills and other gauge theories in quantum field theory, Complex-analytic moduli problems
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. Cvetič, R. Richter and T. Weigand, New stringy instanton effects, AIP Conf. Proc. 957 (2007) 30 [ SPIRES ]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Soliton equations, 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 Álvarez, G.; Alonso, L. Martínez; Medina, E.: Superpotentials, quantum parameter space and phase transitions in N=1 supersymmetric gauge theories, J. high energy phys. 170, No. 3, 37 (2013) 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)
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. Beem and A. Gadde, \textit{The superconformal index of N} = 1 \textit{class S fixed points}, arXiv:1212.1467 [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, Supersymmetric field theories in quantum mechanics, 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 Huang, M-x; Klemm, A., Direct integration for general \({\Omega}\) backgrounds, Adv. Theor. Math. Phys., 16, 805, (2012) Yang-Mills and other gauge theories in quantum field theory, 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), Topology of surfaces (Donaldson polynomials, Seiberg-Witten 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 Cota, CF; Klemm, A.; Schimannek, T., Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds, JHEP, 01, 086, (2018) String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Topological field theories in quantum mechanics, Local differential geometry of Hermitian and Kählerian structures
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 Artur Elezi, A mirror conjecture for projective bundles, Int. Math. Res. Not. 55 (2005), 3445 -- 3458. 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 in gravitational theory, Supersymmetric 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 Candelas, P.; Lynker, M.; Schimmrigk, R., Calabi-Yau manifolds in weighted \( {\mathbb{P}^4} \), Nucl. Phys., B 341, 383, (1990) Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau theory (complex-analytic aspects), 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 D. Fiorenza, H. Sati and U. Schreiber, \textit{Multiple M5-branes, String 2-connections and} 7\textit{d nonabelian Chern-Simons theory}, arXiv:1201.5277 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Eta-invariants, Chern-Simons invariants, Loop groups and related constructions, group-theoretic treatment, Infinite-dimensional Lie (super)algebras, Yang-Mills and other gauge theories in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), String and superstring theories in gravitational theory, Supergravity
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 et al., \textit{Infinitely many M} 2\textit{-instanton corrections to M -theory on G}\_{}\{2\}\textit{-manifolds}, \textit{JHEP}\textbf{09} (2018) 077 [arXiv:1803.02343] [INSPIRE]. String and superstring theories in gravitational theory, Applications of differential geometry to physics, 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 Chang, H.-L.; Li, J., Semi-perfect obstruction theory and Donaldson-Thomas invariants of derived objects, Comm. Anal. Geom., 19, 4, 807-830, (2011) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Stacks and moduli problems, 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 K. Aleshkin and A. Belavin, \textit{A new approach for computing the geometry of the moduli spaces for a Calabi-Yau manifold}, \textit{J. Phys.}\textbf{A 51} (2018) 055403 [arXiv:1706.05342] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Moduli, classification: analytic theory; relations with modular forms, Supersymmetric field theories in quantum mechanics, Gromov-Witten invariants, quantum cohomology, Frobenius 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 Donos, A.; Gauntlett, JP; Kim, N.; Varela, O., Wrapped \(M\)5-branes, consistent truncations and AdS/CMT, JHEP, 12, 003, (2010) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Black holes, Supergravity, Kaluza-Klein and other higher-dimensional theories, Yang-Mills and other gauge theories in quantum field theory, Relativistic cosmology, Quantum field theory on curved space or space-time backgrounds, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Statistical thermodynamics, Finite-dimensional groups and algebras motivated by physics and their representations, 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 Mirror symmetry (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Ginzburg-Landau equations
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 Lü, H.; Pang, Y.; Wang, Z. L.: Constructing Calabi--Yau metrics from hyperkähler spaces Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Local differential geometry of Hermitian and Kählerian structures, 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 K. Nagao, ``Noncommutative Donaldson-Thomas theory and vertex operators,'' . In press, http://arxiv.org/abs/0910.5477. 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 V, G.; J, S., Fuchsian equations of type DN, Commun. Number Theory Phys., 1, 323-346, (2007) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms, Rings of differential operators (associative algebraic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), 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 S.-C. Lau and J. Zhou, Modularity of open Gromov-Witten potentials of elliptic orbifolds, preprint, arXiv:1412.1499. 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), Floer homology, Topology and geometry of orbifolds, Enumerative problems (combinatorial problems) in algebraic geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Congruence modularity, congruence distributivity
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 Gurrieri, S., Micu, A.: Type IIB Theory on Half-flat Manifolds. Class.Quant.Grav. 20, 2181--2192 (2003) String and superstring theories in gravitational theory, 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 Forcella, D.; Zaffaroni, A., \( \mathcal{N} \) = 1 Chern-Simons theories, orientifolds and Spin(7) cones, JHEP, 05, 045, (2010) 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 Lynker, M.; Periwal, V.; Schimmrigk, R.: Black hole attractor varieties and complex multiplication String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties, Relationships between algebraic curves and physics, Zeta functions and \(L\)-functions of number fields, Picard schemes, higher Jacobians, Moduli problems for differential geometric structures, 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 M. Graña, T.W. Grimm, H. Jockers and J. Louis, \textit{Soft supersymmetry breaking in Calabi-Yau orientifolds with D-branes and fluxes}, \textit{Nucl. Phys.}\textbf{B 690} (2004) 21 [hep-th/0312232] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Symmetry breaking 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 Spalinski, M.; Taylor, T.R., Branes and fluxes in \textit{D}=5 calabi--yau compactifications of M-theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, 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 Walcher, J. (2007). Opening mirror symmetry on the quintic. \(Communications in Mathematical Physics, 276\), 671. arXiv:hep-th/0605162. Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius 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 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Supergravity, 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 Jinzenji, M.; Shimizu, M., Open virtual structure constants and mirror computation of open Gromov-Witten invariants of projective hypersurfaces, Int. J. Geom. Meth. Mod. Phys., 11, 1450005, (2014) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), 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 in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Bosonic systems in quantum theory, \(p\)-adic cohomology, crystalline cohomology
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 Bonelli, G.; Marchetti, P. A.; Matone, M.: Algebraic-geometrical formulation of two-dimensional quantum gravity. Lett. math. Phys. 36, 189-196 (1996) Applications of global analysis to the sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Intersection theory, characteristic classes, intersection multiplicities 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 Lee, S-J; Regalado, D.; Weigand, T., 6d SCFTs and U(1) Flavour Symmetries, JHEP, 11, 147, (2018) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, String and superstring theories in gravitational theory, Anomalies in quantum field 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 Schäfer-Nameki, S.: D-branes in N=2 coset models and twisted equivariant K-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, 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 Ketov, S. V.: Gravitational dressing of D-insantons String and superstring theories in gravitational theory, Supergravity, 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 Proceedings, conferences, collections, etc. pertaining to quantum theory, Quantum field theory; related classical field theories, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Fano varieties, Relationships between surfaces, higher-dimensional varieties, and physics, Connections (general theory), Variational problems concerning extremal problems in several variables; Yang-Mills functionals, Collections of articles of miscellaneous specific interest
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 Michael R. Douglas, D-branes on Calabi-Yau manifolds, European Congress of Mathematics, Vol. II (Barcelona, 2000) Progr. Math., vol. 202, Birkhäuser, Basel, 2001, pp. 449 -- 466. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to quantum 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 C.-M. Chen, J. Knapp, M. Kreuzer and C. Mayrhofer, \textit{Global} SO(10) \textit{F-theory GUTs}, \textit{JHEP}\textbf{10} (2010) 057 [arXiv:1005.5735] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Toric varieties, Newton polyhedra, Okounkov bodies, Unified quantum theories, Gravitational interaction in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, 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 Toda, Y., Generalized Donaldson-Thomas invariants on the local projective plane, J. Differ. Geom., 106, 341-369, (2017) 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 J.A. Harvey and G.W. Moore, \textit{Conway subgroup symmetric compactifications of heterotic string}, arXiv:1712.07986 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Finite-dimensional groups and algebras motivated by physics and their representations, Discrete subgroups of Lie groups, Toric varieties, Newton polyhedra, Okounkov bodies, Topology and geometry of orbifolds, 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.A. Minahan, D. Nemeschansky, C. Vafa and N.P. Warner, \textit{E strings and N} = 4 \textit{topological Yang-Mills theories}, \textit{Nucl. Phys.}\textbf{B 527} (1998) 581 [hep-th/9802168] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of compact analytic spaces to the sciences, Calabi-Yau manifolds (algebro-geometric aspects), Moduli problems for differential geometric structures, 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 Belhaj, A.: F-theory duals of M-theory on G 2 manifolds from mirror symmetry. J. Phys. A 36, 4191--4206 (2003). hep-th/0207208 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Issues of holonomy in differential geometry, 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 caoleung3 Y. Cao and N. C. Leung, Orientability for gauge theories on Calabi-Yau manifolds, arXiv:1502.01141, 2015. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Spin and Spin\({}^c\) geometry, 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 DOI: 10.1088/0264-9381/17/2/103 Relativistic cosmology, Calabi-Yau manifolds (algebro-geometric aspects), 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 R. Blumenhagen, R. Schimmrigk and A. Wisskirchen, (0\(,\) 2) \textit{mirror symmetry}, \textit{Nucl. Phys.}\textbf{B 486} (1997) 598 [hep-th/9609167] [INSPIRE]. 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 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Toric varieties, Newton polyhedra, Okounkov bodies, String and superstring theories in gravitational theory, Supergravity
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, Calabi-Yau manifolds (algebro-geometric aspects), 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 F. Cachazo, S. Katz and C. Vafa, \textit{Geometric transitions and N} = 1 \textit{quiver theories}, hep-th/0108120 [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, Eta-invariants, Chern-Simons invariants, Representations of quivers and partially ordered sets, 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 ] K. Wendland, Orbifold constructions of \(K3\): A link between conformal field theory and geometry, in: Proceedings of the Conference on Mathematical Aspects of Orbifold String Theory held at the University of Wisconsin, Madison, WI, May 4-8, 2001, ed. A. Adem, J. Morava and Y. Ruan, Contemp. Math., Vol. 310, 2002, 333-358. Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric field theories in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Moduli problems for differential geometric structures
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 Hosono, Shinobu, Moduli spaces of {C}alabi--{Y}au complete intersections, Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems, 898, 661-666, (2015) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Applications of deformations of analytic structures to the sciences, Calabi-Yau manifolds (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Applications of compact analytic spaces 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 Shklyarov, D., Calabi-Yau structures on categories of matrix factorizations, J. Geom. Phys., 119, 193-207, (2017) Topological field theories in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Noncommutative geometry methods in quantum field theory, Spinor and twistor methods applied to problems in quantum theory, Ginzburg-Landau equations, Calabi-Yau manifolds (algebro-geometric aspects), Factorization of matrices
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. Gopakumar and C. Vafa, \textit{M theory and topological strings. 1.}, hep-th/9809187 [INSPIRE]. Applications of compact analytic spaces to the sciences, 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 Huybrechts, Daniel, The K\``ahler cone of a compact hyperk\''ahler manifold, Math. Ann., 326, 3, 499-513, (2003) \(K3\) surfaces and Enriques surfaces, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-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 Ambroso, M.; Ovrut, B. A., The mass spectra, hierarchy and cosmology of B-L MSSM heterotic compactifications, \textit{International Journal of Modern Physics A}, 26, 9, 1569-1627, (2010) Unified quantum theories, 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), Relativistic cosmology
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 Marino, M., Lectures on the topological vertex, Lect. Notes Math., 1947, 49, (2008) Calabi-Yau manifolds (algebro-geometric aspects), 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, 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 Jefferson, RA; Walcher, J., Monodromy of inhomogeneous Picard-Fuchs equations, Commun. Num. Theor. Phys., 08, 1, (2014) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Structure of families (Picard-Lefschetz, monodromy, etc.), Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies
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., (1999) Mirror symmetry SFM/AMS Texts and Monographs, Vol 1. Providence RI, AMS Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Transcendental methods, Hodge theory (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Variation of Hodge structures (algebro-geometric aspects), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Fano varieties, \(3\)-folds, Structure of families (Picard-Lefschetz, monodromy, etc.), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (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 Rossi, M, Homological type of geometric transitions, Geom. Dedicata, 151, 323-359, (2011) Calabi-Yau manifolds (algebro-geometric aspects), Deformations of complex singularities; vanishing cycles, Modifications; resolution of singularities (complex-analytic 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: 10.1142/S0129167X10005908 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Calabi-Yau manifolds (algebro-geometric aspects), Algebraic moduli problems, moduli of vector bundles, 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 B. Kim, Quantum hyperplane section theorem for homogeneous spaces. \textit{Acta Math}. \textbf{183} (1999), 71-99. MR1719555 Zbl 1023.14028 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Homogeneous spaces and generalizations, Complete intersections, 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 Lau, S.-C.; Leung, N.C.; Wu, B., A relation for Gromov-Witten invariants of local Calabi-Yau threefolds, Math. Res. Lett., 18, 943-956, (2011) 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 G. Martini and W. Taylor, 6\textit{D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces}, arXiv:1404.6300 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, \(K3\) surfaces and Enriques surfaces, Applications of compact analytic spaces to the sciences, 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 Getzler E, Okounkov A, Pandharipande R. Multipoint series of Gromov-Witten invariants of \(\mathbb{C}\)P 1. Lett Math Phys, 2002, 62: 159--172 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), 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 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Generalizations (algebraic spaces, stacks), Mirror symmetry (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, 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 Supersymmetric field theories in quantum mechanics, Supersymmetry and quantum mechanics, 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 N. Beisert, V.A. Kazakov, K. Sakai and K. Zarembo, \textit{The Algebraic curve of classical superstrings on AdS}\_{}\{5\} \({\times}\) \(S\)5, \textit{Commun. Math. Phys.}\textbf{263} (2006) 659 [hep-th/0502226] [INSPIRE]. 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 Kounnas, C.; Kiritsis, E.; Lüst, D.: Non-compact Calabi--Yau spaces and other non-trivial backgrounds for 4D-superstrings, essays on mirror manifolds II Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of differential geometry to 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 P. Kronheimer, \textit{Monopoles and taub-nut metrics}, Transfer Thesis, Oxford University, Oxford U.K. (1985). Supersymmetric field theories in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Toric varieties, Newton polyhedra, Okounkov bodies, Black holes, 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 Andreas, B.; Ruiperez, D. Hernandez: \(U(n)\) vector bundles on Calabi -- Yau threefolds for string theory compactifications, Adv. theor. Math. phys. 9, 253-284 (2005) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Sphere bundles and vector bundles in algebraic topology, Calabi-Yau manifolds (algebro-geometric aspects), 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 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Perturbative methods of renormalization applied to problems in quantum field theory, Feynman diagrams, Symmetry breaking in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects), Topology and geometry of orbifolds, Moduli, classification: analytic theory; relations with modular forms, 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 Y.-H. He, P. Candelas, A. Hanany, A. Lukas and B. Ovrut eds. \textit{Computational Algebraic Geometry in String, Gauge Theory}, \textit{Advances in High Energy Physics}\textbf{2012} (2012) 431898. 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, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Coverings in algebraic geometry, Topology and geometry of orbifolds, Polynomials, Topological field theories in quantum mechanics, 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 Alim M, Scheidegger E, Yau S-T and Zhou J 2014 Special polynomial rings, quasi modular forms and duality of topological strings \textit{Adv. Theor. Math. Phys.}18 401--67 Mirror symmetry (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, Moduli, classification: analytic theory; relations with modular forms, Ordinary and skew polynomial rings and semigroup rings, 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)
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 (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Abelian varieties and schemes
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, \textit{Dirichlet Joyce manifolds, discrete torsion and duality}, \textit{Nucl. Phys.}\textbf{B 492} (1997) 591 [hep-th/9611036] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of compact analytic spaces to the sciences, Compact complex \(n\)-folds, Calabi-Yau manifolds (algebro-geometric aspects)
0