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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Research exposition (monographs, survey articles) pertaining to algebraic geometry, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), Other groups and their modular and automorphic forms (several variables), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) N.J. Hitchin, \textit{Lectures on special Lagrangian submanifolds}, math/9907034 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Calibrations and calibrated geometries, Calabi-Yau theory (complex-analytic aspects), Lagrangian submanifolds; Maslov index, Generalizations of fiber spaces and bundles in algebraic topology
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Banos, B.: Nondegenerate Monge--Ampère structures in dimension 6. Lett. math. Phys. 62, 1-15 (2002) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Kähler-Einstein manifolds, Almost complex manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Aganagic, M., Klemm, A., Marino, M., Vafa, C.: Matrix model as a mirror of Chern-Simons theory. JHEP \textbf{0402}, 010 (2004). arXiv:hep-th/0211098v1 Calabi-Yau theory (complex-analytic aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) G. Casnati, Examples of Calabi-Yau threefolds as covers of almost-Fano threefolds, Geom. Dedicata 119 (2006), 169 -- 179. Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Fano varieties, \(3\)-folds, Coverings in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Braun, V.; Cvetič, M.; Donagi, R.; Poretschkin, M., Type II string theory on Calabi-Yau manifolds with torsion and non-abelian discrete gauge symmetries, JHEP, 07, 129, (2017) String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of differential geometry to physics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Weissenbacher, \textit{On four-derivative terms in IIB Calabi-Yau orientifold reductions}, arXiv:1607.03913 [INSPIRE]. Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Supersymmetric field theories in quantum mechanics, Kaluza-Klein and other higher-dimensional theories, Supergravity, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mirror symmetry (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Yang-Mills and other gauge theories in quantum field theory, Holomorphic bundles and generalizations, Global differential geometry of Hermitian and Kählerian manifolds, Algebraic moduli problems, moduli of vector bundles, Representations of quivers and partially ordered sets
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Kähler manifolds, Calabi-Yau theory (complex-analytic aspects), Plurisubharmonic functions and generalizations, Compact Kähler manifolds: generalizations, classification, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Calabi-Yau manifolds (algebro-geometric aspects), Holomorphic symplectic varieties, hyper-Kähler varieties, \(K3\) surfaces and Enriques surfaces, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) J. Gu, M.-X. Huang, A.-K. Kashani-Poor and A. Klemm, \textit{Refined BPS invariants of} 6\textit{d SCFTs from anomalies and modularity}, \textit{JHEP}\textbf{05} (2017) 130 [arXiv:1701.00764] [INSPIRE]. Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Anomalies in quantum field theory, Topological field theories in quantum mechanics, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Local differential geometry of Hermitian and Kählerian structures
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Passare, A. K. Tsikh, and A. A. Cheshel, ''Multiple Mellin-Barnes Integrals as Periods of Calabi-Yau Manifolds With Several Moduli,'' Teor. i Matem. Fiz. 109(3), 381--394 (1996). Period matrices, variation of Hodge structure; degenerations, Residues for several complex variables, Calabi-Yau manifolds (algebro-geometric aspects), Moduli, classification: analytic theory; relations with modular forms, Deformations of complex structures, Other functions defined by series and integrals, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) F. Benini and S. Cremonesi, \textit{Partition functions of N} = (2\(,\)2) \textit{gauge theories on S}\^{}\{2\}\textit{and vortices}, arXiv:1206.2356 [INSPIRE]. Calabi-Yau theory (complex-analytic aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Calabi-Yau manifolds (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Phong, D.H., Picard, S., Zhang, X.W.: \textit{Anomaly Flows}, to appear in Comm. Anal. Geom. (arXiv:1610.02739) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Jardine, IT; Quigley, C., Conformal invariance of (0, 2) \({\sigma}\)-models on Calabi-Yau manifolds, JHEP, 03, 090, (2018) String and superstring theories in gravitational theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Renormalization group methods applied to problems in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Moduli, classification: analytic theory; relations with modular forms, Complex-analytic moduli problems, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Applications of differential geometry to physics, Kaluza-Klein and other higher-dimensional theories, 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)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Drissi, L. B.; Jehjouh, H.; Saidi, E. H.: Topological string on local elliptic curve with large complex structure, Afr. J. Math. phys. 6, 83-91 (2008) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Elliptic curves, Relationships between algebraic curves and integrable systems, Groups and algebras in quantum theory and relations with integrable systems, Calabi-Yau theory (complex-analytic aspects), Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Topological field theories in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mohri, K.: Kähler moduli space for a D-brane at orbifold singularities 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, Calabi-Yau theory (complex-analytic aspects), Applications of compact analytic spaces to the sciences
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) DOI: 10.1016/j.nuclphysb.2005.10.029 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), Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Applications of global differential geometry to the sciences, Lagrangian submanifolds; Maslov index, String and superstring theories in gravitational theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Applications of compact analytic spaces to the sciences, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Supergravity
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Variation of Hodge structures (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) P. Corvilain, T.W. Grimm and D. Regalado, \textit{Chiral anomalies on a circle and their cancellation in F-theory}, arXiv:1710.07626 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Supergravity, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Headrick, M.; Wiseman, T., \textit{numerical Ricci-flat metrics on K}3, Class. Quant. Grav., 22, 4931, (2005) Special Riemannian manifolds (Einstein, Sasakian, etc.), Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Einstein's equations (general structure, canonical formalism, Cauchy problems)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Relationships between algebraic curves and integrable systems, Variation of Hodge structures (algebro-geometric aspects), Geometric Langlands program (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Representations of Lie and linear algebraic groups over local fields
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 12. Boucksom, Sébstien and Jonsson, M. Tropical and non-Archimedean limits of degenerating families of volume forms J.~Éc. polytech. Math.4 (2017) 87--139 Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, Non-Archimedean analysis, Rigid analytic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Compact Kähler manifolds: generalizations, classification, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Jockers H., Soroush M.: Effective superpotentials for compact D5-brane Calabi-Yau geometries. Commun. Math. Phys. 290, 249--290 (2009) Calabi-Yau theory (complex-analytic aspects), String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S. Hosono, BCOV ring and holomorphic anomaly equation, arXiv:0810.4795 . Mirror symmetry (algebro-geometric aspects), Applications of local differential geometry to the sciences, Applications of hypergeometric functions, Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Holomorphic modular forms of integral weight
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Rohde, Jan Christian, Cyclic coverings, {C}alabi--{Y}au manifolds and complex multiplication, Lecture Notes in Math., 1975, x+228, (2009), Springer-Verlag, Berlin Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Calabi-Yau manifolds (algebro-geometric aspects), Complex multiplication and moduli of abelian varieties, Variation of Hodge structures (algebro-geometric aspects), Modular and Shimura varieties, Coverings of curves, fundamental group, Period matrices, variation of Hodge structure; degenerations, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) D. Baumann and L. McAllister, \textit{Inflation and string theory}, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge U.K. (2015). Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory, Research exposition (monographs, survey articles) pertaining to quantum theory, Relativistic cosmology, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Local differential geometry of Hermitian and Kählerian structures, Quantization of the gravitational field, Astrophysical cosmology, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Applications of differential geometry to physics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Michael~R. Douglas. Dirichlet branes, homological mirror symmetry, and stability. In \(Proceedings of the International Congress of Mathematicians, Vol. III (Beijing, 2002)\), pages 395-408. Higher Ed. Press, Beijing, 2002. 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), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Hoffman, M. E., Periods of mirrors and multiple zeta values, Proc. Amer. Math Soc., 130, 971-974, (2002) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Symmetric functions and generalizations, Other Dirichlet series and zeta functions
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) L. A. Borisov and A. R. Mavlyutov, String cohomology of Calabi-Yau hypersurfaces via mirror symmetry , preprint, \ Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau theory (complex-analytic aspects), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Y. Konishi and S. Minabe, On solutions to Walcher's extended holomorphic anomaly equation, arXiv:0708.2898 [ SPIRES ]. Anomalies in quantum field theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Questions of holomorphy and infinite-dimensional manifolds, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mirror symmetry (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Klemm, A., Preliminary notes: introduction in topological string theory on Calabi-Yau manifolds Topological field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau theory (complex-analytic aspects), Research exposition (monographs, survey articles) pertaining to quantum theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Noja, S.; Cacciatori, S. L.; Dalla Piazza, F.; Marrani, A.; Re, R., One-dimensional super Calabi-Yau manifolds and their mirrors, J. High Energy Phys., 04, 094, (2017) String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Supersymmetric field theories in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Lee N.-H.: Calabi--Yau coverings over some singular varieties and new Calabi--Yau 3-folds with Picard number one. Manuscripta Math. 125(4), 531--547 (2008) Calabi-Yau manifolds (algebro-geometric aspects), Fano varieties, Calabi-Yau theory (complex-analytic aspects), \(3\)-folds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Doran, Charles F. and Kelly, Tyler L. and Salerno, Adriana and Sperber, Steven and Voight, John and Whitcher, Ursula, Zeta functions of alternate mirror {C}alabi--{Y}au families, (None) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic mirror symmetry, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Namikawa Y.: Stratified local moduli of Calabi--Yau 3-folds. Topology 41, 1219--1237 (2002) Families, moduli, classification: algebraic theory, Calabi-Yau manifolds (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mello Koch, R.; Rabambi, P.; Rabe, R.; Ramgoolam, S., Counting and construction of holomorphic primary fields in free CFT\_{}\{4\} from rings of functions on Calabi-Yau orbifolds, JHEP, 08, 077, (2017) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Maillot, V.; Rössler, D., On the birational invariance of the BCOV torsion of Calabi-Yau threefolds, Comm. Math. Phys., 311, 2, 301-316, (2012) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Greiner, S.; Grimm, TW, Three-form periods on Calabi-Yau fourfolds: toric hypersurfaces and F-theory applications, JHEP, 05, 151, (2017) 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), String and superstring theories in gravitational theory, Applications of differential geometry to physics, Research exposition (monographs, survey articles) pertaining to quantum theory, Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory, Exact solutions to problems in general relativity and gravitational theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) G. Almkvist, D. van Straten and W. Zudilin, \textit{Generalizations of Clausen}'\textit{s formula and algebraic transformations of Calabi-Yau differential equations}, preprint \textit{Series of the Institute for Mathematics in Bonn}\textbf{38}, Bonn Germany (2009). Generalized hypergeometric series, \({}_pF_q\), Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms, Factorials, binomial coefficients, combinatorial functions, Combinatorial identities, bijective combinatorics, Structure of families (Picard-Lefschetz, monodromy, etc.), Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Hein, Hans-Joachim; Sun, Song, Calabi-Yau manifolds with isolated conical singularities, Publ. Math. Inst. Hautes Études Sci., 126, 73-130, (2017) Calabi-Yau theory (complex-analytic aspects), Kähler-Einstein manifolds, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Kühnel \({ref.surNamesEn}, Calabi-Yau-threefolds with Picard number \)\({\rho}\)(X) = 2\( and their K\"ahler cone II,, \)Pacific. J. Math.\(, 217, 115, (2004)\) Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Daniel Huybrechts, Generalized Calabi-Yau structures, \?3 surfaces, and \?-fields, Internat. J. Math. 16 (2005), no. 1, 13 -- 36. \(K3\) surfaces and Enriques surfaces, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau theory (complex-analytic aspects), Applications of compact analytic spaces to the sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Thomas, R.P., Examples of bundles on Calabi-Yau three-folds for string theory compactifications, Adv. Theor. Math. Phys., 4, 231, (2000) 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), Compact complex \(3\)-folds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) U. BRUZZO - G. MARELLI - F. PIOLI, A Fourier transform for sheaves on real tori Part II. Relative theory, J. of Geometry and Phy., 41 (2002), pp. 312-329. Zbl1071.14515 MR1888468 Calabi-Yau manifolds (algebro-geometric aspects), Sheaves and cohomology of sections of holomorphic vector bundles, general results, Calabi-Yau theory (complex-analytic aspects), Exotic index theories on manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Andreas, B., Curio, G.: On possible Chern classes of stable bundles on Calabi-Yau threefolds. J. Geom. Phys. \textbf{61}, 1378 (2011). arXiv:1010.1644 [hep-th] Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Alexei Kovalev, Ricci-flat deformations of asymptotically cylindrical Calabi-Yau manifolds, Proceedings of Gökova Geometry-Topology Conference 2005, Gökova Geometry/Topology Conference (GGT), Gökova, 2006, pp. 140 -- 156. Global differential geometry of Hermitian and Kählerian manifolds, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Cicoli, M.; Muia, F.; Shukla, P., Global embedding of fibre inflation models, JHEP, 11, 182, (2016) Relativistic cosmology, String and superstring theories in gravitational theory, Astrophysical cosmology, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Applications of differential geometry to physics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Cantat, S.; Oguiso, K., Birational automorphism group and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups, Amer. J. Math., 137, 4, 1013-1044, (2015) Calabi-Yau manifolds (algebro-geometric aspects), Automorphisms of surfaces and higher-dimensional varieties, Rational and birational maps, Reflection and Coxeter groups (group-theoretic aspects), Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Joyce, D. D.: \(U(1)\)-invariant special Lagrangian 3-folds in C3 and special Lagrangian fibrations. Turkish J. Math 27, 99-114 (2003) Lagrangian submanifolds; Maslov index, Calabi-Yau manifolds (algebro-geometric aspects), Calibrations and calibrated geometries, Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S. Hosono, \textit{Central charges, symplectic forms and hyper geometric series in local mirror symmetry}, hep-th/0404043 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Variation of Hodge structures (algebro-geometric aspects), Kähler-Einstein manifolds, Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Flows related to mean curvature
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic cycles, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Soibelman, Y. S.: Mirror symmetry and noncommutative geometry of a\infty-categories. J. math. Phys. 45, No. 10, 3742-3757 (2004) Calabi-Yau theory (complex-analytic aspects), Noncommutative algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Moduli, classification: analytic theory; relations with modular forms, Deformations of complex structures, ``Super'' (or ``skew'') structure
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) R.P. Thomas, \textit{Moment maps, monodromy and mirror manifolds}, math/0104196 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Symplectic aspects of Floer homology and cohomology, Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Poddar, M.: Orbifold Hodge numbers of Calabi-Yau hypersurfaces. Pacific J. Math., 208(1), 151--167 (2003) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mark Gross and Bernd Siebert. Mirror symmetry via logarithmic degeneration data. I. \(J. Differential Geom.\), 72(2):169-338, 2006. Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Fibrations, degenerations in algebraic geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Complex-analytic moduli problems, Toric varieties, Newton polyhedra, Okounkov bodies
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Y.-M. Chan, Desingularizations of Calabi-Yau \(3\)-folds with a conical singularity , Q. J. Math. 57 (2006), 151-181. Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) D. Joyce, \textit{Lectures on Calabi-Yau and special Lagrangian geometry}, math/0108088 [INSPIRE]. Calibrations and calibrated geometries, Lagrangian submanifolds; Maslov index, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Elliptic surfaces, elliptic or Calabi-Yau fibrations, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) A. Klemm, W. Lerche, P. Mayr, C. Vafa and N.P. Warner, \textit{Selfdual strings and N} = 2 \textit{supersymmetric field theory}, \textit{Nucl. Phys.}\textbf{B 477} (1996) 746 [hep-th/9604034] [INSPIRE]. String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Local differential geometry of Hermitian and Kählerian structures
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Sugiyama, K.: Kähler potential of moduli space of Calabi--Yau d-fold embedded in cpd+1 Applications of deformations of analytic structures to the sciences, Calabi-Yau theory (complex-analytic aspects), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Kähler-Einstein manifolds, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Special Riemannian manifolds (Einstein, Sasakian, etc.), Global differential geometry of Hermitian and Kählerian manifolds
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Y. Soibelman, ''Quantum p-adic spaces and quantum p-adic groups,'' Geometry and Dynamics of Groups and Spaces, Progr. Math. 265, 697--719 (Birkhauser, Basel, 2008). Non-Archimedean valued fields, Calabi-Yau manifolds (algebro-geometric aspects), Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups and related algebraic methods applied to problems in quantum theory, Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) J.H. Silverman, \textit{The Arithmetic of Elliptic Curves}, Springer, Berlin Germany (2000). Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Naichung Conan Leung, Shing-Tung Yau, and Eric Zaslow. From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform. Adv. Theor. Math. Phys., 4(6):1319-1341, 2000. Calibrations and calibrated geometries, Calabi-Yau theory (complex-analytic aspects), Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Calabi-Yau manifolds (algebro-geometric aspects), Lagrangian submanifolds; Maslov index
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Couzens, C.; Lawrie, C.; Martelli, D.; Schäfer-Nameki, S.; Wong, J-M, F-theory and ads\_{}\{3\}/CFT\_{}\{2\}, JHEP, 08, 043, (2017) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supergravity, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Horne, J.H., Moore, G.: Chaotic coupling constants, Nuclear Phys. B \textbf{432}(1-2), 109-126 (1994). 10.1016/0550-3213(94)90595-9 Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Determinants and determinant bundles, analytic torsion
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 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
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Lian B.H., Todorov A., Yau S.-T. (2005). Maximal unipotent monodromy for complete intersection CY manifolds. Am. J. Math. 127: 1--50 Calabi-Yau manifolds (algebro-geometric aspects), Singularities in algebraic geometry, Calabi-Yau theory (complex-analytic aspects), Complete intersections, Toric varieties, Newton polyhedra, Okounkov bodies
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