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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Borisov, LA, String cohomology of a toroidal singularity, J. Algebraic Geom., 9, 289-300, (2000) Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau manifolds (algebro-geometric aspects), Singularities in algebraic geometry, 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) Exact solutions to problems in general relativity and gravitational theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Black holes, String and superstring theories in gravitational theory, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Supergravity
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Lechtenfeld, O.; Popov, AD; Szabo, RJ, Sasakian quiver gauge theories and instantons on Calabi-Yau cones, Adv. Theor. Math. Phys., 20, 821, (2016) Yang-Mills and other gauge theories in quantum field theory, Representations of quivers and partially ordered sets, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects), Special Riemannian manifolds (Einstein, Sasakian, etc.), Topology and geometry of orbifolds
0
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, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and 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, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) The genus one Gromov-Witten invariants of Calabi-Yau complete intersections, Tran Amer Math Soc, 365, 1149-1181, (2013) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Applications of hypergeometric functions, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Escudero, J.G.: The root lattice \(A_2\) in the construction of substitution tilings and singular hypersurfaces. In: Applications of Computer Algebra. Springer Proceedings in Mathematics & Statistics, vol. 198, pp. 101-117. Springer, Cham (2017) Calabi-Yau manifolds (algebro-geometric aspects), Computational aspects of algebraic surfaces, Root systems, Singularities of surfaces or higher-dimensional varieties, Hypersurfaces and algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S. Kachru, ''Aspects of N=1 String Dynamics'', hep-th/9705173. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), 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) Hulek, K.; Kloosterman, R.; Schütt, M.: Modularity of Calabi-Yau varieties, Global aspects of complex geometry, 271-309 (2006) Calabi-Yau manifolds (algebro-geometric aspects), Varieties over finite and local fields, Modular and automorphic functions
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) H. Jockers, V. Kumar, J.M. Lapan, D.R. Morrison and M. Romo, \textit{Nonabelian} 2\textit{D Gauge Theories for Determinantal Calabi-Yau Varieties}, \textit{JHEP}\textbf{11} (2012) 166 [arXiv:1205.3192] [INSPIRE]. 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) Curto, C., Matrix model superpotentials and \textit{ADE} singularities, Adv. Theor. Math. Phys., 12, 2, 353-404, (2008) 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) Deformations of complex structures, Almost homogeneous manifolds and spaces, Fano varieties
0
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, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Black holes, String and superstring theories in gravitational theory, 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) Hausel T., Mirror symmetry and Langlands duality in the non-abelian Hodge theory of a curve, In: Geometric Methods in Algebra and Number Theory, Miami, December 16--20, 2003, Progr. Math., 235, Birkhäuser, Boston, 2005, 193--217 Vector bundles on curves and their moduli, Transcendental methods, Hodge theory (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) Kaluza-Klein and other higher-dimensional theories, Calabi-Yau manifolds (algebro-geometric aspects), Dimensional compactification in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Balázs Szendrői, On an example of Aspinwall and Morrison, Proc. Amer. Math. Soc. 132 (2004), no. 3, 621 -- 632. Calabi-Yau manifolds (algebro-geometric aspects), Torelli problem, 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) 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
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mavlyutov, A. R.: Deformations of Calabi-Yau hypersurfaces arising from deformations of toric varieties. Invent. Math., 157, 621--633 (2004) Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) DeWolfe, O., Giryavets, A., Kachru, S., Taylor, W.: Enumerating flux vacua with enhanced symmetries. JHEP \textbf{0502}, 037 (2005). hep-th:0411061 Calabi-Yau manifolds (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Nakkajima, Y., \textit{liftings of simple normal crossing log K3 and log Enriques surfaces in mixed characteristics}, J. Algebraic Geom., 9, 355-393, (2000) \(K3\) surfaces and Enriques surfaces, Formal methods and deformations 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) Walpuski, T, \(\text{ G }_2\)-instantons over twisted connected sums: an example, Math. Res. Lett., 23, 529-544, (2016) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Special Riemannian manifolds (Einstein, Sasakian, etc.), Calibrations and calibrated geometries, 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; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau manifolds (algebro-geometric aspects), Supersymmetric field theories in quantum mechanics, Algebraic moduli problems, moduli of vector bundles, 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) Nahm, W.; Wendland, K., \textit{mirror symmetry on Kummer type K}3 \textit{surfaces}, Commun. Math. Phys., 243, 557, (2003) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Supersymmetric field theories in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Relations with algebraic geometry and topology, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Hein, H.-J.: Complete Calabi-Yau metrics from \({\mathbb{P}}^2\) #9 \(\overline{\mathbb{P}}^2\).arXiv:1003.2646 Special Riemannian manifolds (Einstein, Sasakian, etc.), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Diaconescu, D-E; Rajesh, G., Geometrical aspects of five-branes in heterotic/F-theory duality in four-dimensions, JHEP, 06, 002, (1999) 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), 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) Berglund, P.; Gimon, E. G.: On the complementarity of F-theory, orientifolds, and heterotic strings. Nucl. phys. B 525, 73 (1998) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, String and superstring theories in gravitational theory
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), Fano varieties
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), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, 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) Holomorphic bundles and generalizations, Deformations of complex structures, Noncommutative algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) K. Becker, M. Becker and D. Robbins, \textit{The \({\alpha}\)}\^{}\{'\}\textit{-expansion of Calabi-Yau compactifications}, arXiv:1510.05713 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, Research exposition (monographs, survey articles) pertaining to quantum theory
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), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Mirror symmetry (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) Dixon, L.J.: Some world sheet properties of superstring compactifications, on orbifolds and otherwise. In: Proceedings, Summer Workshop in High-energy Physics and Cosmology: Superstrings, Unified Theories and Cosmology: Trieste, Italy, 29 June-7 Aug 1987 Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and 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) Ghoshal, D.; Vafa, C., \(C\)\ =\ 1 string as the topological theory of the conifold, Nucl. Phys., B 453, 121, (1995) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Applications of deformations of analytic structures to the sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Minimal model program (Mori theory, extremal rays), Calabi-Yau manifolds (algebro-geometric aspects), Vanishing theorems in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) L.B. Anderson, A. Grassi, J. Gray and P.-K. Oehlmann, \textit{F-theory on quotient threefolds with} (2\(,\) 0) \textit{discrete superconformal matter}, \textit{JHEP}\textbf{06} (2018) 098 [arXiv:1801.08658] [INSPIRE]. Supergravity, 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) Chung, Y.-C.: On global flipped \textit{SU}(5) guts in F-theory. JHEP \textbf{03}, 126 (2011). arXiv:1008.2506 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Unified quantum theories, Gravitational interaction in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) D.-E. Diaconescu, R. Donagi and T. Pantev, \textit{Intermediate Jacobians and ADE Hitchin systems}, hep-th/0607159 [INSPIRE]. Applications of deformations of analytic structures to the sciences, 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, Picard schemes, higher Jacobians, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) K. Intriligator, H. Jockers, P. Mayr, D.R. Morrison and M.R. Plesser, \textit{Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes}, arXiv:1203.6662 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Unified quantum theories, Supersymmetric field theories in quantum mechanics, 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) Garbagnati A., van Geemen B.: The Picard-Fuchs equation of a family of Calabi-Yau threefolds without maximal unipotent monodromy. Int. Math. Res. Notices 16, 3134--3143 (2010) 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) Gallego F.J., Purnaprajna B.P. (2003). On the canonical rings of covers of surfaces of minimal degree. Trans. Amer. Math. Soc. 355:2715--2732 Surfaces of general type, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Geometrodynamics and the holographic principle, String and superstring theories in gravitational theory, 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) Grimm, T. W.; Klemm, A.; Klevers, D.: Five-brane superpotentials, blow-up geometries and \(SU(3)\) structure manifolds String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Topology and geometry of orbifolds, Blow-up in context of PDEs, 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) V.V. Batyrev, I. Ciocan-Fontanine, B. Kim and D. van Straten, \textit{Conifold Transitions and Mirror Symmetry for Calabi-Yau Complete Intersections in Grassmannians}, \textit{Nucl. Phys.}\textbf{B 514} (1998) 640 [alg-geom/9710022]. Calabi-Yau manifolds (algebro-geometric aspects), Complete intersections, 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) Perturbative methods of renormalization applied to problems in quantum field theory, Topological field theories in quantum mechanics, Elliptic curves, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Calabi-Yau manifolds (algebro-geometric aspects), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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, Supersymmetric field theories in quantum mechanics, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Unified quantum theories, Applications of global analysis to structures on manifolds, Research exposition (monographs, survey articles) pertaining to quantum theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) \beginbarticle ----, \batitleThe mirror formula for quintic threefolds, \bjtitleAmer. Math. Soc. Transl. Ser. \bvolume2 (\byear1999), no. \bissue196, page 49-\blpage62. \endbarticle \OrigBibText A. Givental, The mirror formula for quintic threefolds , Amer.,Math.,Soc.,Transl.,Ser. 2, 196 (1999), 49-62 \endOrigBibText \bptokstructpyb \endbibitem Enumerative problems (combinatorial problems) in algebraic geometry, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Kharel, S., Lynker, M., Schimmrigk, R.: String modular motives for mirrors of rigid Calabi-Yau varieties, in Modular forms and string duality, Fields Inst. Commun. 54, Providence, PI: Amer. Math. Soc. Felds. Dist., 2008, pp. 47--63 \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Relations with algebraic geometry and topology, 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) R. Blumenhagen, B. Jurke, T. Rahn and H. Roschy, \textit{Cohomology of Line Bundles: Applications}, \textit{J. Math. Phys.}\textbf{53} (2012) 012302 [arXiv:1010.3717] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, 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), Yang-Mills and other gauge theories in mechanics of particles and systems
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Cvetič, M.; Heckman, JJ; Lin, L., Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory, JHEP, 11, 001, (2018) String and superstring theories in gravitational theory, 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) Mirror symmetry (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Saito, K.: Towards a categorical construction of Lie algebras, Adv. stud. Pure math. 50, 101-175 (2008) Categories in geometry and topology, Lie algebras and Lie superalgebras, Singularities of surfaces or higher-dimensional varieties, Homology and cohomology theories in algebraic topology, Simple, semisimple, reductive (super)algebras, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Fang, B.; Liu, C.-C.M.; Zong, Z., All genus mirror symmetry for toric Calabi-Yau 3-orbifolds, (String-math 2014, Proc. sympos. pure math., 93, (2016), Amer. Math. Soc. Providence, RI), 1-19 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Topological field theories in quantum mechanics, 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) Müller, Susanne, The \textit{F}-pure threshold of quasi-homogeneous polynomials, (2016), preprint Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Local cohomology and commutative rings, Calabi-Yau manifolds (algebro-geometric aspects), Hypersurfaces and algebraic geometry
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Vafa, C. (1998). Geometric physics. In G. Fischer, \& U. Rehmann, (Eds.), Proceedings of the international congress of mathematics. (vol. 1, pp. 537--556). Documenta Mathematica J. DMV. Global differential geometry of Hermitian and Kählerian manifolds, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of differential geometry to physics, Research exposition (monographs, survey articles) pertaining to quantum theory, 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 manifolds (algebro-geometric aspects), Topology and geometry of orbifolds, Jacobi forms, Elliptic genera
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Fano varieties, Complete intersections, Calabi-Yau manifolds (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves
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, Parametrization (Chow and Hilbert schemes)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Spinor and twistor methods applied to problems in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects), Classical problems, Schubert calculus, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (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, 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), Quantization of the gravitational field
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bryant R.L.: Calibrated embeddings in the special Lagrangian and coassociative cases. Ann. Glob. Anal. Geom. 18, 405--435 (2000) Special Riemannian manifolds (Einstein, Sasakian, etc.), Calabi-Yau manifolds (algebro-geometric aspects), Exterior differential systems (Cartan theory), Lagrangian submanifolds; Maslov index
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) J.M. Maldacena, A. Strominger and E. Witten, \textit{Black hole entropy in M-theory}, \textit{JHEP}\textbf{12} (1997) 002 [hep-th/9711053] [INSPIRE]. String and superstring theories in gravitational theory, 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, Black holes
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bonetti, F.; Weissenbacher, M., The Euler characteristic correction to the Kähler potential -- revisited, JHEP, 01, 003, (2017) 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) 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, Toric varieties, Newton polyhedra, Okounkov bodies, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), General topics in linear spectral theory for PDEs, Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Robles-Llana, D.; Saueressig, F.; Theis, U.; Vandoren, S., Membrane instantons from mirror symmetry, Commun. Num. Theor. Phys., 1, 681, (2007) 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)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Variation of Hodge structures (algebro-geometric aspects), Deformations of complex structures, 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. Almkvist, D. van Straten, and W. Zudilin, ``Apéry limits of differential equations of order 4 and 5'' in Modular Forms and String Duality (Banff, 2006) , Fields Inst. Commun. 54 , Amer. Math. Soc., Providence, 2008, 105-123. Calabi-Yau manifolds (algebro-geometric aspects), Evaluation of number-theoretic constants, Structure of families (Picard-Lefschetz, monodromy, etc.)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Drukker, N.; Mariño, M.; Putrov, P., From weak to strong coupling in ABJM theory, Commun. Math. Phys., 306, 511, (2011) 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), Eta-invariants, Chern-Simons invariants, Supersymmetric field theories in quantum mechanics, Supergravity
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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, Supersymmetric field theories in quantum mechanics, Dimensional compactification in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Formal methods and deformations in algebraic geometry
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Fibrations, degenerations in algebraic geometry, Plane and space curves, Special divisors on curves (gonality, Brill-Noether theory), Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Automorphisms of surfaces and higher-dimensional varieties, Holomorphic bundles and generalizations, Twistor theory, double fibrations (complex-analytic aspects), Proceedings of conferences of miscellaneous specific interest
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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, Supersymmetric field theories in quantum mechanics, 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) A. Misra and P. Shukla, Swiss cheese D3-D7 soft SUSY breaking -- revelations, Nucl. Phys. B 827 (2010) 112 [ arXiv:0906.4517 ] [ SPIRES ]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Symmetry breaking in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), String and superstring theories in gravitational theory, Relativistic cosmology
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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, Groups and algebras in quantum theory and relations with integrable systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Supersymmetric field theories in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Many-body theory; quantum Hall effect, 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) Ambrosetti, N.; Antoniadis, I.; Derendinger, J-P; Tziveloglou, P., \textit{the hypermultiplet with Heisenberg isometry in}\( \mathcal{N} \) = 2 \textit{global and local supersymmetry}, JHEP, 06, 139, (2011) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Gravitational interaction in quantum theory, Kaluza-Klein and other higher-dimensional theories, Calabi-Yau manifolds (algebro-geometric aspects), Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, PDEs on Heisenberg groups, Lie groups, Carnot groups, etc.
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Balázs Szendrői, Calabi-Yau threefolds with a curve of singularities and counterexamples to the Torelli problem. II, Math. Proc. Cambridge Philos. Soc. 129 (2000), no. 2, 193 -- 204. Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Torelli problem
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Thomas, R.: Mirror symmetry and actions of braid groups on derived categories 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) Căldăraru, A.: Fiberwise stable bundles on elliptic fibrations with relative Picard number one, C. R. Acad. sci. Paris ser. I 334, 469-472 (2002) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Calabi-Yau manifolds (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Luc, Illusie, Autour du théorème de monodromie locale, Astérisque, 223, 9-57, (1994), Périodes \textit{p}-adiques (Bures-sur-Yvette, 1988) Étale and other Grothendieck topologies and (co)homologies, Local ground fields in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Deformations of complex structures, Non-Archimedean analysis, Variation of Hodge structures (algebro-geometric aspects), Varieties over finite and local fields
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Brini, A.; Tanzini, A., Exact results for topological strings on resolved \(Y^{p, q}\) singularities, Commun. Math. Phys., 289, 205-252, (2009) Calabi-Yau manifolds (algebro-geometric aspects), 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) A. M. Kasprzyk, \textit{Canonical toric Fano threefolds}, Canad. J. Math., 62 (2010), pp. 1293--1309, http://dx.doi.org/10.4153/CJM-2010-070-3 10.4153/CJM-2010-070-3. Fano varieties, Toric varieties, Newton polyhedra, Okounkov bodies, \(3\)-folds, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), 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) Sharpe, E.: Notes on heterotic compactifications. Phys. lett. B 432, 326 (1998) 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, Applications of compact analytic spaces to the sciences
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Derived categories of sheaves, dg categories, and related constructions 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) 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) Jeng-Daw, Yu, Notes on Calabi-Yau ordinary differential equations, Commun. Number Theory Phys., 3, 475-493, (2009) 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) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Fine and coarse moduli spaces, 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) Grimm, TW; Kapfer, A.; Keitel, J., \textit{effective action of} 6\textit{D F-theory with} U(1) \textit{factors: rational sections make Chern-Simons terms jump}, JHEP, 07, 115, (2013) Yang-Mills and other gauge theories 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) Calabi-Yau manifolds (algebro-geometric aspects), Families, moduli, classification: algebraic 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), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Klevers, D., Holomorphic couplings in non-perturbative string compactifications, Fortsch. Phys., 60, 3, (2012) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Research exposition (monographs, survey articles) pertaining to quantum theory, Supersymmetric field theories in quantum mechanics, 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) Malyshev, D., Del Pezzo singularities and SUSY breaking, Adv. High Energy Phys., 2011, 630892, (2011) Supersymmetric field theories in quantum mechanics, Symmetry breaking in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects), Deformations of singularities
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) H. Fan, T. Jarvis and Y. Ruan, \textit{A mathematical theory of the gauged linear {\(\sigma\)}-model}, arXiv:1506.02109 [INSPIRE]. Stacks and moduli problems, Geometric invariant theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Group actions on varieties or schemes (quotients), Applications of deformations of analytic structures to the sciences, 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) S. Kachru and C. Vafa, Exact results for N\ =\ 2 compactifications of heterotic strings, Nucl. Phys. Proc. Suppl. 46 (1996) 210 [ INSPIRE ]. 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
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mohri, K., D-branes and quotient singularities of Calabi-Yau fourfolds, Nucl. Phys., B 521, 161, (1998) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Singularities of surfaces or higher-dimensional varieties, 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) Marsano, J.; Saulina, N.; Schäfer-Nameki, S., Compact F-theory GUTs with U(1)\_{}\{PQ\}, JHEP, 04, 095, (2010) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Open systems, reduced dynamics, master equations, decoherence, Gravitational interaction in quantum theory, Weak interaction in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) L. Borisov, \textit{Higher-Stanley-Reisner rings and toric residues}, \textit{Compos. Math.}\textbf{141} (2005) 161 [math/0306307]. Toric varieties, Newton polyhedra, Okounkov bodies, 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) Marchesano, F., Progress in D-brane model building, Fortsch. Phys., 55, 491, (2007) 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), Research exposition (monographs, survey articles) pertaining to quantum theory
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Ilten, N.; Vollmert, R., Deformations of rational \(T\)-varieties, J. Algebraic Geom., 21, 531-562, (2012) Toric varieties, Newton polyhedra, Okounkov bodies, Deformations of singularities, Deformations of complex structures, Group actions on varieties or schemes (quotients)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S. Cecotti, M.C. Cheng, J.J. Heckman and C. Vafa, \textit{Yukawa couplings in F-theory and non-commutative geometry}, arXiv:0910.0477 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Eta-invariants, Chern-Simons invariants, Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Unified quantum theories, Kaluza-Klein and other higher-dimensional theories, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Noncommutative geometry methods in quantum field theory
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