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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) A. Gerhardus and H. Jockers, \textit{Quantum periods of Calabi-Yau fourfolds}, arXiv:1604.05325 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Nonperturbative methods of renormalization applied to problems in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) H. Verrill and N. Yui, ``Thompson series, and the mirror maps of pencils of \(K3\) surfaces'' in The Arithmetic and Geometry of Algebraic Cycles (Banff, Alberta, 1998) , CRM Proc. Lecture Notes 24 , Amer. Math. Soc., Providence, 2000, 399--432. Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) C. Hertling and Y. Manin, ``Unfoldings of meromorphic connections and a construction of Frobenius manifolds'' in Frobenius Manifolds, Aspects Math. E36, Vieweg, Wiesbaden, 2004, 113--144. Complex manifolds, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Calabi-Yau theory (complex-analytic aspects), Variation of Hodge structures (algebro-geometric aspects), Deformations of complex singularities; vanishing cycles
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Ciliberto, Ciro; Mendes Lopes, Margarida; Roulleau, Xavier, On Schoen surfaces, Comment. Math. Helv., 90, 1, 59-74, (2015) Surfaces of general type, Deformations of complex structures, Fibrations, degenerations in algebraic geometry, Families, moduli, classification: algebraic theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Joyce: Holomorphic generating functions for invariants counting coherent sheaves on Calabi-Yau 3-folds. Geom. Topol. \textbf{11}, 667-725 (2007). arXiv:hep-th/0607039 Calabi-Yau manifolds (algebro-geometric aspects), Algebraic moduli problems, moduli of vector bundles
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Diaconescu, D.-E., Florea, B.: Large N duality for compact Calabi-Yau threefolds. Adv. Theor. Math. Phys. \textbf{9}, 31 (2005). (hep-th/0302076) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric 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) L. A. Borisov and R. Paul Horja, Mellin-Barnes integrals as Fourier-Mukai transforms, Adv. Math., 207 (2006), 876--927. Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau manifolds (algebro-geometric aspects), (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, \(K\)-theory of schemes, Other hypergeometric functions and integrals in several variables
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Jinzenji, M., Mirror map as generating function of intersection numbers: toric manifolds with two Kähler forms, Comm. Math. Phys., 323, 2, 747-811, (2013) Toric varieties, Newton polyhedra, Okounkov bodies, Complex-analytic moduli problems, Calabi-Yau theory (complex-analytic aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Global differential geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) P. Berglund, S. Katz, A. Klemm, and P. Mayr, New Higgs transitions between dual \(N{=}2\) string models, Nucl. Phys. B 483 (1997) 209-228, hep-th/9605154. 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, String and superstring theories in gravitational theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) L.F. Alday, D. Gaiotto, S. Gukov, Y. Tachikawa and H. Verlinde, \textit{Loop and surface operators in}\( \mathcal{N}=2 \)\textit{gauge theory and Liouville modular geometry}, \textit{JHEP}\textbf{01} (2010) 113 [arXiv:0909.0945] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory, Supersymmetric field theories in quantum mechanics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Castaño Bernard R, Matessi D. (2009) Lagrangian 3-torus fibrations. J. Diff. Geom. 81, 483-573. (10.4310/jdg/1236604343) Calabi-Yau manifolds (algebro-geometric 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) Mirror symmetry (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Geometric aspects of tropical varieties, Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Toric varieties, Newton polyhedra, Okounkov bodies, Isotopy in differential topology
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Li, J., Song, Y.: Open string instantons and relative stable morphisms. In: \textit{The interaction of finite-type and Gromov-Witten invariants (BIRS 2003)}, Volume \textbf{8} of \textit{Geom. Topol. Monogr}., Coventry: Geom. Topol. Publ., 2006, pp. 49-72 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Model quantum field theories, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Kashaev, R.; Mariño, M.; Zakany, S., Matrix models from operators and topological strings, 2, Annales Henri Poincaré, 17, 2741, (2016) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Quantization in field theory; cohomological methods, Nonperturbative methods of renormalization applied to problems in quantum field theory, Polylogarithms and relations with \(K\)-theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Supergravity, Applications of differential geometry to physics, Anomalies in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Freitag, E; Salvati Manni, R, Some Siegel threefolds with a Calabi-Yau model II, Kyungpook Math. J., 53, 149-174, (2013) Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Fan, Y. W., Entropy of an autoequivalence on Calabi-Yau manifolds Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Wang, XJ; Zhou, B, On the existence and nonexistence of extremal metrics on toric Kähler surfaces, Adv. Math., 226, 4429-4455, (2011) Global differential geometry of Hermitian and Kählerian 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) D. Maulik, N. Nekrasov, A. Okounkov and R. Pandharipande, \textit{Gromov-Witten theory and Donaldson-Thomas theory, I}, math/0312059. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Relationships between algebraic curves and physics, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
0
Deformations of complex structures, 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, Calabi-Yau manifolds (algebro-geometric aspects), Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Arithmetic mirror symmetry, Varieties over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) MaPi2 A.~Maciocia and D.~Piyaratne. \newblock Fourier-Mukai Transforms and Bridgeland Stability Conditions on Abelian Threefolds II, \newblock \em preprint. \newblock arXiv:1310.0299. \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), Vector bundles on surfaces and higher-dimensional varieties, and their moduli
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Belhaj, A.; Saidi, E. H.: Toric geometry, enhanced non-simply laced gauge symmetries in superstrings and F-theory compactifications Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
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, Mirror symmetry (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics
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, conferences, collections, etc. pertaining to number theory, Proceedings, conferences, collections, etc. pertaining to functions of a complex variable, Proceedings, conferences, collections, etc. pertaining to differential geometry, Proceedings, conferences, collections, etc. pertaining to quantum theory, Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Compact Riemann surfaces and uniformization, Mirror symmetry (algebro-geometric aspects), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Operator algebra methods applied to problems in quantum theory, Proceedings of conferences of miscellaneous specific interest
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Toric varieties, Newton polyhedra, Okounkov bodies, Representations of quivers and partially ordered sets, Algebraic cycles, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) BeBryan K.~Behrend and J.~Bryan. \newblock Super-rigid Donaldson-Thomas invariants. \newblock \em Math.~Res.~Lett., Vol.~14, pp. 559--571, 2007. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Algebraic moduli problems, moduli of vector bundles, Relationships between algebraic curves and physics, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Black holes, 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) Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to quantum theory, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of deformations of analytic structures to the sciences
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) J. de Boer, K. Hori, H. Ooguri, Y. Oz and Z. Yin, \textit{Mirror symmetry in three-dimensional theories,} SL(2\(,\) \(\mathbb{Z}\)) \textit{and D-brane moduli spaces}, \textit{Nucl. Phys.}\textbf{B 493} (1997) 148 [hep-th/9612131] [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Yang-Mills and other gauge theories in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) A. Misra and P. Shukla, 'Finite' non-Gaussianities and tensor-scalar ratio in large volume Swiss-cheese compactifications, Nucl. Phys. B 810 (2009) 174 [ arXiv:0807.0996 ] [ SPIRES ]. Relativistic cosmology, 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), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Haack, M.; Louis, J.; Marquart, M., \textit{type IIA and heterotic string vacua in D} = 2, Nucl. Phys., B 598, 30, (2001) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Transcendental methods of algebraic geometry (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) S. Li, B.H. Lian and S.-T. Yau, \textit{Picard-Fuchs equations for relative periods and Abel-Jacobi map for Calabi-Yau hypersurfaces}, arXiv:0910.4215 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, 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) Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Arithmetic ground fields for surfaces or higher-dimensional varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Galois representations
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Shimizu, M.; Suzuki, H., Open mirror symmetry for Pfaffian Calabi-Yau 3-folds, JHEP, 03, 083, (2011) 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), Mirror symmetry (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Toric varieties, Newton polyhedra, Okounkov bodies
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Supersymmetric field theories in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Dimensional compactification in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies, General theory of ordinary differential operators, Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation), Calabi-Yau manifolds (algebro-geometric aspects), PDEs in connection with statistical mechanics, Picard schemes, higher Jacobians, Phase transitions (general) in equilibrium statistical mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Ambrosetti, N.; Antoniadis, I.; Derendinger, J-P; Tziveloglou, P., Nonlinear supersymmetry, brane-bulk interactions and super-Higgs without gravity, Nucl. Phys., B 835, 75, (2010) Supersymmetric field theories in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Unified quantum theories, Calabi-Yau manifolds (algebro-geometric aspects), PDEs in connection with quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Heluani R., Zabzine M.: Generalized Calabi-Yau Manifolds and the chiral de Rham complex. Adv. in Math. 223(5), 1815--1844 (2009) Generalized geometries (à la Hitchin), Calabi-Yau manifolds (algebro-geometric aspects), Vertex operators; vertex operator algebras and related structures
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Automorphisms of surfaces and higher-dimensional varieties, Generalizations (algebraic spaces, stacks)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Classical problems, Schubert calculus, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Kuznetsov, A., \textit{homological projective duality}, Publ. Math. Inst. Hautes Études Sci., 105, 157-220, (2007) Projective techniques in algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Topological field theories in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory, Enumerative problems (combinatorial problems) in algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Algebraic cycles, \(p\)-adic cohomology, crystalline cohomology, Calabi-Yau manifolds (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Voisin, C.: Sur l'application d'Abel-Jacobi des vari?t?s de Calabi-Yau de dimension trois. Ann. Sci. E.N.S., (to appear) \(3\)-folds, Variation of Hodge structures (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) Krattenthaler, C.; Rivoal, T., Multivariate \(p\)-adic formal congruences and integrality of Taylor coefficients of mirror maps.Arithmetic and Galois theories of differential equations, Sémin. Congr. 23, 241-269, (2011), Soc. Math. France, Paris Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Diophantine approximation, transcendental number theory, Calabi-Yau manifolds (algebro-geometric aspects), Other hypergeometric functions and integrals in several variables
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Yang-Mills and other gauge theories in quantum field theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Groups and algebras in quantum theory and relations with integrable systems
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) De la Ossa, X., Florea, B., Skarke, H.: D-branes on noncompact Calabi-Yau manifolds: K theory and monodromy. Nucl. Phys. B \textbf{644}, 170 (2002). arXiv:hep-th/0104254. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Lin, H.: T4 fibrations over Calabi-Yau two-folds and non-Kähler manifolds in string theory. Nuclear phys. B 909, 525-541 (2016) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Fiber spaces in algebraic topology, Applications of holomorphic fiber spaces to the sciences
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Corvilain, P.; Grimm, TW; Regalado, D., Chiral anomalies on a circle and their cancellation in F-theory, JHEP, 04, 020, (2018) String and superstring theories in gravitational theory, Anomalies in quantum field theory, Eta-invariants, Chern-Simons invariants, Calabi-Yau manifolds (algebro-geometric aspects), Kaluza-Klein and other higher-dimensional theories
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Grothendieck groups and \(K_0\), Varieties and morphisms, Grassmannians, Schubert varieties, flag manifolds, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Y. Toda, \textit{On a computation of rank two Donaldson-Thomas invariants}, arXiv:0912.2507. Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) H. Stieber, Über die Existenz von maximalen modularen Unterkeimen und lokalen Modulräumen in der komplexen Analysis. Math. Z.203 (1990), 263--277. Deformations of complex structures, Deformations of submanifolds and subspaces, Families, fibrations in algebraic geometry
0
Deformations of complex structures, 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, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) E. Frenkel, A. Losev and N. Nekrasov, \textit{Instantons beyond topological theory. I}, hep-th/0610149 [INSPIRE]. Topological field theories in quantum mechanics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric field theories in quantum mechanics, Nonperturbative methods of renormalization applied to problems in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Compact Kähler manifolds: generalizations, classification, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Quantization of the gravitational field
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) B. Fiol, \textit{The BPS spectrum of N} = 2 SU (\(N\)) \textit{SYM and parton branes}, hep-th/0012079 [INSPIRE]. 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), Toric varieties, Newton polyhedra, Okounkov bodies, Statistical mechanics of crystals, Phase transitions (general) in equilibrium statistical mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Supersymmetric field theories in quantum mechanics, Kaluza-Klein and other higher-dimensional theories, Calabi-Yau manifolds (algebro-geometric aspects), Renormalization group methods applied to problems in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Hofman, C.; Park, J. -S.: Sigma models for bundles on Calabi--Yau: a proposal for matrix string compactifications. Nucl. phys. B 561, 125-156 (1999) Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Applications of compact analytic spaces to the sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Model quantum field theories
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects)
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), Transcendental methods, Hodge theory (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Algebraic cycles, \(3\)-folds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Antoniadis, I.; Florakis, I.; Hohenegger, S.; Narain, K.S.; Zein Assi, A., Probing the moduli dependence of refined topological amplitudes, Nucl. phys. B, 901, 252-281, (2015) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, \(2\)-body potential quantum scattering theory, Supergravity, Functional analysis on superspaces (supermanifolds) or graded spaces, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S.H. Katz, A. Klemm and C. Vafa, \textit{Geometric engineering of quantum field theories}, \textit{Nucl. Phys.}\textbf{B 497} (1997) 173 [hep-th/9609239] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of compact analytic spaces to the sciences, Supersymmetric field theories in quantum mechanics
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S. Gukov, S.-T. Yau and E. Zaslow, \textit{Duality and fibrations on G}\_{}\{2\}\textit{manifolds}, hep-th/0203217 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), 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) Unified quantum theories, Nuclear physics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Mirror symmetry (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Special relativity
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Deformations of complex structures, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Formal methods and deformations in algebraic geometry, Minimal model program (Mori theory, extremal rays), Families, moduli, classification: algebraic theory, Compact analytic spaces, Homogeneous complex manifolds, Kähler manifolds
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Dieulefait, L.: Computing the level of a modular rigid Calabi--Yau threefold, Experiment. math. 13, 165-169 (2004) Calabi-Yau manifolds (algebro-geometric aspects), Relations with algebraic geometry and topology, Galois representations
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Kreuzer, E. Riegler and D.A. Sahakyan, \textit{Toric complete intersections and weighted projective space}, \textit{J. Geom. Phys.}\textbf{46} (2003) 159 [math/0103214] [INSPIRE]. 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
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Hull, CM; Lindström, U.; Roček, M.; Unge, R.; Zabzine, M., Generalized Calabi-Yau metric and generalized Monge-ampere equation, JHEP, 08, 060, (2010) Model quantum field theories, Supergravity, Calabi-Yau manifolds (algebro-geometric aspects), Kähler manifolds, Monge-Ampère equations
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Meinhardt, S, Stability conditions on generic tori, Int. J. Math., 23, 1250035-1250052, (2012) Calabi-Yau manifolds (algebro-geometric aspects), Abelian categories, Grothendieck categories
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Fibrations, degenerations in 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) Automorphisms of surfaces and higher-dimensional varieties, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Local deformation theory, Artin approximation, etc., Moduli, classification: analytic theory; relations with modular forms, Surfaces of general type, Fano varieties, Coverings in algebraic geometry, Vanishing theorems in algebraic geometry, Deformations of complex structures, Equisingularity (topological and analytic), Compact complex surfaces, Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Beasley, C.; Greene, BR; Lazaroiu, CI; Plesser, MR, \(D\)3-branes on partial resolutions of abelian quotient singularities of Calabi-Yau threefolds, Nucl. Phys., B 566, 599, (2000) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory), Computational aspects of algebraic curves, Rational and unirational varieties, Deformations of complex structures
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Mirror symmetry (algebro-geometric aspects), Symplectic aspects of Floer homology and cohomology, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric 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) Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Relativistic cosmology, String and superstring theories in gravitational theory, 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) Gross, M.: Deforming Calabi--Yau threefolds. Math. Ann. 308, 187--220 (1997). http://arxiv.org/abs/alg-geom/9506022 \(3\)-folds, Formal methods and deformations in 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) DOI: 10.1016/j.geomphys.2007.04.002 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli problems, moduli of vector bundles, 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) Mayer, C.; Mohaupt, T., The Kähler cone as cosmic censor, Class. Quant. Grav., 21, 1879, (2004) Space-time singularities, cosmic censorship, etc., String and superstring theories in gravitational theory, Local differential geometry of Hermitian and Kählerian structures, 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) Lynker, M.; Schimmrigk, R.; Wisskirchen, A., \textit{Landau-Ginzburg vacua of string, M-theory and F-theory at c} = 12, Nucl. Phys., B 550, 123, (1999) Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Fu, J.-X.; Wang, Z.; Wu, D., Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics, J. Eur. Math. Soc. (JEMS), 15, 2, 659-680, (2013) Calabi-Yau theory (complex-analytic aspects), Global differential geometry of Hermitian and Kählerian manifolds, \(3\)-folds
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Nonperturbative methods of renormalization applied to problems in quantum field theory, 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) Relationships between algebraic curves and integrable systems, Variation of Hodge structures (algebro-geometric 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) Nitta, Y., Convexity properties of generalized moment maps, J. Math. Soc. Japan, 61, 4, 1171-1204, (2009), MR 2588508 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) S. Cynk, Double coverings of octic arrangements with isolated singularities , Adv. Theor. Math. Phys. 3 (1999), 217-225. Calabi-Yau manifolds (algebro-geometric aspects), Coverings in algebraic geometry, Topological properties in algebraic geometry, Singularities of surfaces or higher-dimensional varieties
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Clader, E., Landau-Ginzburg/Calabi-Yau correspondence for the complete intersections \(X\)\_{}\{3,3\} and \(X\)\_{}\{2,2,2,2\}, arXiv: 1301.5530. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric 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) Special Riemannian manifolds (Einstein, Sasakian, etc.), 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) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), \(4\)-folds
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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), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants), 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) Couso-Santamaria, R., Universality of the topological string at large radius and NS-brane resurgence, Lett. Math. Phys., 107, 343, (2017) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, Mirror symmetry (algebro-geometric aspects), Perturbations, asymptotics of solutions to ordinary differential equations, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Rational and birational maps, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), Fano varieties
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Group actions on varieties or schemes (quotients), Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type, 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) Kerr, M.: A survey of transcendental methods in the study of Chow groups of zero-cycles. In: Mirror Symmetry V. AMS/IP Stud. Adv. Math., vol. 38, pp. 295--349. Am. Math. Soc., Providence, RI (2006) (Equivariant) Chow groups and rings; motives, Variation of Hodge structures (algebro-geometric aspects), Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric 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) R. Donagi and M. Wijnholt, \textit{Gluing branes II: flavour physics and string duality}, arXiv:1112.4854 [INSPIRE]. String and superstring theories in gravitational theory, 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) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Elliptic genera, Calabi-Yau manifolds (algebro-geometric aspects), 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.), Elliptic curves, Graded rings and modules (associative rings and algebras), Jacobi forms, Modular and automorphic functions, Sheaves and cohomology of sections of holomorphic vector bundles, general results
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) G C Drummond-Cole, Formal formality of the hypercommutative algebras of low dimensional Calabi-Yau varieties Calabi-Yau manifolds (algebro-geometric aspects), Categorical structures, String topology
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Applications of differential geometry to physics, Supergravity, Applications of analytic spaces to physics and other areas of science, 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) Hu, Y.; Yau, S. -T.: Hyperkähler manifolds and birational transformations. Adv. theor. Math. phys. 6, No. 3, 557-574 (2002) 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), Connections (general theory), Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry
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