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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) C. Haase and I. Zharkov, ''Integral affine structures on spheres: complete intersections,'' Int. Math. Res. Not., vol. 2005, iss. 51, pp. 3153-3167, 2005. Toric varieties, Newton polyhedra, Okounkov bodies, Real algebraic and real-analytic geometry, 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.; Thaddeus, M.: Examples of mirror partners arising from integrable systems. C. R. Acad. sci. Paris sér. I math. 333, No. 4, 313-318 (2001) Calabi-Yau manifolds (algebro-geometric aspects), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems, Transcendental methods of algebraic geometry (complex-analytic aspects), Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Benini, F., Cremonesi, S.: Partition functions of \({\mathcal{N} = (2, 2)}\) gauge theories on S\^{}\{2\} and vortices. Commun. Math. phys. arXiv:1206.2356 [hep-th] Elliptic genera, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, 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) \(n\)-folds (\(n>4\)), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) O.J. Ganor, D.R. Morrison and N. Seiberg, \textit{Branes, Calabi-Yau spaces and toroidal compactification of the N} = 1 \textit{six-dimensional E}\_{}\{8\}\textit{theory}, \textit{Nucl. Phys.}\textbf{B 487} (1997) 93 [hep-th/9610251] [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of compact analytic spaces to the sciences, String and superstring theories in gravitational theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Ran Z., Lie atoms and their deformations, Geom. Funct. Anal., 2008, 18(1), 184--221 Structure of families (Picard-Lefschetz, monodromy, etc.), Deformations of complex structures, Cohomology of Lie (super)algebras
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Blumenhagen, R.; Moster, S.; Weigand, T., Heterotic GUT and standard model vacua from simply connected Calabi-Yau manifolds, Nucl. Phys., B 751, 186, (2006) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Unified quantum theories, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Symmetry breaking in quantum theory, Supersymmetric field theories in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) G. Kapustka and M. Kapustka \({ref.surNamesEn}, Calabi-Yau threefolds in \)\mathbbP^6\(,, \)Ann. Math. Pur. Appl.\(, 195, 529, (2016)\) Calabi-Yau manifolds (algebro-geometric aspects), Varieties of low degree
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mariño, M.; Moore, G., Counting higher genus curves in a Calabi-Yau manifold, Nucl. Phys., B 543, 592, (1999) Enumerative problems (combinatorial problems) in algebraic geometry, 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, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (analytic)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Joyce, D.: \(U(1)\)-invariant special Lagrangian 3-folds. II. existence of singular solutions. Adv. math. 192, 72-134 (2005) Calibrations and calibrated geometries, Calabi-Yau manifolds (algebro-geometric aspects), Lagrangian submanifolds; Maslov index
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Brunner, I.; Distler, J.; Mahajan, R., Return of the torsion D-branes, Adv. Theor. Math. Phys., 5, 311, (2002) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Moduli problems for differential geometric structures, Calabi-Yau manifolds (algebro-geometric aspects)
0
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, Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Mirror symmetry (algebro-geometric aspects), Symplectic manifolds (general theory)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) \(n\)-folds (\(n>4\)), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Linkage, complete intersections and determinantal ideals, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties, Rational and unirational varieties, Projective techniques in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) DOI: 10.1016/S0920-5632(01)01541-9 String and superstring theories in gravitational 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) Calabi-Yau manifolds (algebro-geometric aspects), Singularities in algebraic geometry, Symplectic aspects of Floer homology and cohomology
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Deformations of complex structures, Homology of a product, Künneth formula, Formal methods and deformations in algebraic geometry, Classical real and complex (co)homology in algebraic geometry, Analytic sheaves and cohomology groups
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) H. Sato, Mirror symmetry and the web of Landau-Ginzburg string vacua, OU-HET 255, hep-th/9612239. 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, 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) A. Grassi and D.R. Morrison, \textit{Group representations and the Euler characteristic of elliptically fibered Calabi-Yau threefolds}, \textit{Jour. Alg. Geom.}\textbf{12} (2003) 321 [math/0005196]. 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) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Topological field theories in quantum mechanics, Supersymmetric field theories in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Global differential geometry, \(3\)-folds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Buchbinder, EI; Donagi, R.; Ovrut, BA, Superpotentials for vector bundle moduli, Nucl. Phys., B 653, 400, (2003) Supersymmetric field theories in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, 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) Y. Sibuya, \textit{Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient}, North-Holland (1975). String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Symmetry breaking in quantum theory, Supersymmetric field theories in quantum mechanics, String and superstring theories in gravitational theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Burns, D.; Hu, Y.; Luo, T.: Hyperkähler manifolds and birational transformations in dimension 4. Contemp. math. 322, 141-149 (2003) Rational and birational maps, Deformations of complex structures, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Minimal model program (Mori theory, extremal rays), \(4\)-folds
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), Birational automorphisms, Cremona group and generalizations, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Yang-Mills and other gauge theories in quantum field theory, 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) Calabi-Yau manifolds (algebro-geometric aspects), Varieties over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Computational aspects of higher-dimensional varieties, Fibrations, degenerations in algebraic geometry, Singularities of surfaces or higher-dimensional varieties
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) A. Tyurin, Geometric quantization and mirror symmetry, arXiv:math/9902027. Calibrations and calibrated geometries, Calabi-Yau manifolds (algebro-geometric aspects), Almost complex manifolds, Lagrangian submanifolds; Maslov index
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Nagai, Y, On monodromies of a degeneration of irreducible symplectic Kähler manifolds, Math. Z., 258, 407-426, (2008) Structure of families (Picard-Lefschetz, monodromy, etc.), Calabi-Yau manifolds (algebro-geometric aspects), Kähler-Einstein manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mark Gross, The deformation space of Calabi-Yau \?-folds with canonical singularities can be obstructed, Mirror symmetry, II, AMS/IP Stud. Adv. Math., vol. 1, Amer. Math. Soc., Providence, RI, 1997, pp. 401 -- 411. Calabi-Yau manifolds (algebro-geometric aspects), Deformations of singularities, Local deformation theory, Artin approximation, etc., Singularities of surfaces or higher-dimensional varieties
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) J. Bryan and R. Pandharipande, On the rigidity of stable maps to Calabi-Yau threefolds, Proceedings of the BIRS workshop on the interaction of finite type and Gromov-Witten invariants, Geometry and Topology Monographs, Vol. 8 (2006), pp. 97-104. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (algebraic), 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) DOI: 10.1090/S0002-9939-97-03712-X Deformations of complex structures, Deformations of complex singularities; vanishing cycles, Deformations of singularities, Deformations and infinitesimal methods in commutative ring theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Johnson, SB; Taylor, W., Calabi-Yau threefolds with large h\^{}\{2,1\}, JHEP, 10, 23, (2014) Topological field theories in quantum mechanics, Relationships between surfaces, higher-dimensional varieties, and physics, 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) Arnaud Beauville, Holomorphic symplectic geometry: a problem list, Complex and differential geometry, Springer Proc. Math., vol. 8, Springer, Heidelberg, 2011, pp. 49 -- 63. Compact Kähler manifolds: generalizations, classification, Calabi-Yau manifolds (algebro-geometric aspects), Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Global theory of symplectic and contact manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Aspinwall, PS; Melnikov, IV; Plesser, MR, (0, 2) elephants, JHEP, 01, 060, (2012) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Topology and geometry of orbifolds, 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) R. Donagi, S. Katz and M. Wijnholt, \textit{Weak Coupling, Degeneration and Log Calabi-Yau Spaces}, arXiv:1212.0553 [INSPIRE]. 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), Fibrations, degenerations in algebraic geometry, Variation of Hodge structures (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Ohta, N.; Tomino, D.: Noncommutative gauge dynamics from brane configurations with background B field. Progr. theor. Phys. 105, 287 (2001) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Noncommutative geometry methods in quantum field theory, Soliton equations, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Esole, J. Fullwood and S.-T. Yau, \(D\)\_{}\{5\}\textit{elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory}, arXiv:1110.6177 [INSPIRE]. 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, 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) Ahl Laamara R., Belhaj A., Drissi L.B., Saidi E.H.: On local Calabi-Yau supermanifolds and their mirrors. J. Phys. A 39(20), 5965--5977 (2006) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supermanifolds and graded manifolds, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Ballico, E., ?An addendum on algebraic models of smooth models?,Geom Dedicata 38 (1991), 343-346. Real-analytic and Nash manifolds, Real-analytic and semi-analytic sets, Parametrization (Chow and Hilbert schemes), Moduli, classification: analytic theory; relations with modular forms, Minimal model program (Mori theory, extremal rays), Deformations of complex structures
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Vector bundles on curves and their moduli, 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) Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Determinants and determinant bundles, analytic torsion, Period matrices, variation of Hodge structure; degenerations
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Garbagnati, A, New families of Calabi-Yau threefolds without maximal unipotent monodromy, Manuscripta Math., 140, 273-294, (2013) Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Mirror symmetry (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Variation of Hodge structures (algebro-geometric aspects), Families, moduli, classification: algebraic theory, Automorphisms of surfaces and higher-dimensional varieties
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, Quantization of the gravitational field, Black holes, 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) DOI: 10.1016/j.physletb.2008.01.006 Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Classical real and complex (co)homology in algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (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) Formal methods and deformations in algebraic geometry, Deformations of complex structures, Deformations and infinitesimal methods in commutative ring theory, Graded Lie (super)algebras, Global differential geometry of Hermitian and Kählerian manifolds, Deformations of general structures on manifolds, Deformations of fiber bundles
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bridgeland, Tom. \(Flops and derived categories\). Invent. Math. 147 (2002), no. 3, 613-632. Minimal model program (Mori theory, extremal rays), \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S.B. Johnson and W. Taylor, \textit{Calabi-Yau threefolds with large h}\^{}\{2,1\}, \textit{JHEP}\textbf{10} (2014) 023 [arXiv:1406.0514] [INSPIRE]. 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), Structure of families (Picard-Lefschetz, monodromy, etc.), Fibrations, degenerations in algebraic geometry, String and superstring theories in gravitational theory, Relativistic cosmology
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), Spin and Spin\({}^c\) geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Hypersurfaces and algebraic geometry, Fano varieties, Calabi-Yau manifolds (algebro-geometric aspects), Complete intersections, Grassmannians, Schubert varieties, flag manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Global differential geometry of Hermitian and Kählerian manifolds, Special Riemannian manifolds (Einstein, Sasakian, etc.), Calabi-Yau theory (complex-analytic aspects), Positive solutions to nonlinear boundary value problems for ordinary differential equations, Fano varieties
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Tomasiello, A.: Topological mirror symmetry with fluxes String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Spinor and twistor methods applied to problems in quantum 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) Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Einstein's equations (general structure, canonical formalism, Cauchy problems), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects)
0
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, 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 threefolds of quasi-product type, Docum. Math., to appear. \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), \(4\)-folds, Automorphisms of surfaces and higher-dimensional varieties, Parametrization (Chow and Hilbert schemes)
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), Families, moduli of curves (algebraic)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Kerstan and T. Weigand, \textit{The Effective action of D}6\textit{-branes in N} = 1 \textit{type IIA orientifolds}, \textit{JHEP}\textbf{06} (2011) 105 [arXiv:1104.2329] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Kaluza-Klein and other higher-dimensional theories, Calabi-Yau manifolds (algebro-geometric aspects), Functional analysis on superspaces (supermanifolds) or graded spaces
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 convex and discrete geometry, Collections of abstracts of lectures, 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), Fibrations, degenerations in algebraic geometry, Group actions on varieties or schemes (quotients), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Other hypergeometric functions and integrals in several variables, Fano varieties, Representations of quivers and partially ordered sets
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, Fano varieties, 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) Gabella, M., He, Y.H., Lukas, A.: An abundance of heterotic vacua. JHEP \textbf{0812}, 027 (2008). 10.1088/1126-6708/2008/12/027. arXiv:0808.2142 [hep-th] 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
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) V. Gritsenko, \textit{Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms}, \textit{Alg. Analiz}\textbf{11} (1999) 100 [\textit{St. Petersburg Math. J.}\textbf{11} (2000) 781] [math.AG/9906190] [INSPIRE]. Modular and Shimura varieties, Relations with algebraic geometry and topology, Jacobi forms, \(K3\) surfaces and Enriques surfaces, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Elliptic genera, Moduli, classification: analytic theory; relations with modular forms, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Geometric invariant theory, Kähler manifolds, Calabi-Yau theory (complex-analytic aspects), Special Riemannian manifolds (Einstein, Sasakian, etc.), Geometric quantization
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), 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) J.-M. Hwang, N. Mok, \textit{Varieties of minimal rational tangents on uniruled projective manifolds}, in: \textit{Several Complex Variables}, Berkeley, CA, 1995-1996, Math. Sci. Res. Inst. Publ., Vol. 37, Cambridge Univ. Press, Cambridge, 1999, pp. 351-389. Global differential geometry of Hermitian and Kählerian manifolds, Fano varieties, Differential geometry of homogeneous manifolds, \(G\)-structures, Foliations (differential geometric aspects), Deformations of complex structures
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) A.P. Braun, A. Collinucci and R. Valandro, \textit{G-flux in F-theory and algebraic cycles}, \textit{Nucl. Phys.}\textbf{B 856} (2012) 129 [arXiv:1107.5337] [INSPIRE]. 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), Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.), Weak interaction in quantum theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) --------, Groups of autoequivalences of derived categories of smooth projective varieties, Ph.D. dissertation, Freie Universität, Berlin, 2005. \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Group actions on varieties or schemes (quotients)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, Topological field theories in quantum mechanics, Eta-invariants, Chern-Simons invariants, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Donagi, R.; Ovrut, BA; Pantev, T.; Waldram, D., Standard models from heterotic M-theory, Adv. Theor. Math. Phys., 5, 93, (2002) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Unified quantum theories, Supersymmetric field theories in quantum mechanics, Symmetry breaking in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories in gravitational theory, 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) Y Konishi, Integrality of Gopakumar-Vafa invariants of toric Calabi-Yau threefolds, Publ. Res. Inst. Math. Sci. 42 (2006) 605 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) Victor V. Batyrev and Dimitrios I. Dais. Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry. \(Topology\), 35(4):901-929, 1996. Calabi-Yau manifolds (algebro-geometric aspects), (Co)homology theory in algebraic geometry, Variation of Hodge structures (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Transcendental methods, Hodge theory (algebro-geometric aspects), Homological methods in Lie (super)algebras
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) General geometric structures on manifolds (almost complex, almost product structures, etc.), Rigidity results, Calabi-Yau manifolds (algebro-geometric aspects), Pseudoholomorphic curves
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Hirsh, T., Martin, B.: Deformations with section: cotangent cohomology, flatness conditions, and modular subgerms. J. Math. Sci. \textbf{132}(6), 739-756 (2006) Deformations of complex singularities; vanishing cycles, Deformations of singularities, Deformations of complex structures
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) F. Denef, \textit{On the correspondence between D-branes and stationary supergravity solutions of type-II Calabi-Yau compactifications}, hep-th/0010222 [INSPIRE]. 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)
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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), \(3\)-folds, Mirror symmetry (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bertram A.: Another way to enumerate rational curves with torus actions. Invent. Math. 142(3), 487--512 (2000) arXiv:math/9905159 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Families, moduli of curves (algebraic), Plane and space curves
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, Calabi-Yau manifolds (algebro-geometric aspects), Kähler manifolds
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Dwivedi, S.; Ramadevi, P., Inverse algorithm and M2-brane theories, JHEP, 11, 111, (2011) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Quantum field theory on curved space or space-time backgrounds, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory, Representations of quivers and partially ordered sets, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Gauss and Kloosterman sums; generalizations, Fourier coefficients of automorphic forms, Applications of sieve methods, Exponential sums, Galois representations, Holomorphic modular forms of integral weight, Arithmetic aspects of modular and Shimura varieties, 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) P. Putrov, J. Song and W. Yan, (0\(,\) 4) \textit{dualities}, \textit{JHEP}\textbf{03} (2016) 185 [arXiv:1505.07110] [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Topological field theories in quantum mechanics, Rational and ruled surfaces
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) R. Wazir, \textit{Arithmetic on elliptic threefolds}, math.NT/0112259. Unified quantum theories, String and superstring theories; other extended objects (e.g., branes) 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) \(K3\) surfaces and Enriques surfaces, Rational and birational maps, Calabi-Yau manifolds (algebro-geometric aspects), Automorphisms of surfaces and higher-dimensional varieties
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), \(4\)-folds, Fano varieties, Derived categories, triangulated categories
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bruzzo, U.; Marelli, G.; Pioli, F., A Fourier transform for sheaves on real tori. part I. the equivalence sky(T) \(###\) loc(\( \widehat{T} \)), J. Geom. Phys., 39, 174, (2001) Calabi-Yau manifolds (algebro-geometric aspects), Sheaves and cohomology of sections of holomorphic vector bundles, general results, Exotic index theories on manifolds, Lagrangian submanifolds; Maslov index
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Ballard, D. Favero and L. Katzarkov, Orlov spectra: Bounds and gaps, Invent. Math. 189 (2012), no. 2, 359-430. Rationality questions 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) Grimm, TW, The N\ =\ 1 effective action of F-theory compactifications, Nucl. Phys., B 845, 48, (2011) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Special integral transforms (Legendre, Hilbert, etc.), Moduli problems for differential geometric structures
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mirror symmetry (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Logarithmic algebraic geometry, log schemes
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) 5. Dieulefait, L., Pacetti, A., Schütt, M.: Modularity of the Consani-Scholten quintic. With an appendix by José Burgos Gil and Ariel Pacetti. Doc. Math. J. DMV 17 , 953-987 (2012) Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Galois representations, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, 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) Voisin, C.: A mathematical proof of a formula of aspinwall-morrison. Comp. math. 104, 135-151 (1996) Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, \(3\)-folds
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, \(3\)-folds, 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) Gregory, R.; Kaviani, D., Spinflation with angular potentials, JHEP, 01, 037, (2012) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Relativistic cosmology
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.), Black holes, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Supergravity, Exact solutions to problems in general relativity and gravitational theory, Yang-Mills and other gauge theories in mechanics of particles and systems, Quantum entropies
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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)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Gross and S. Popescu, \textit{Calabi-Yau threefolds and moduli of Abelian surfaces. 1.}, math/0001089 [INSPIRE]. Algebraic moduli of abelian varieties, classification, Calabi-Yau manifolds (algebro-geometric aspects), Rational and unirational varieties, Determinantal varieties
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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), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), \(4\)-folds, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Cao, H.-D., Zhou, J.: DGBV algebras and mirror symmetry. In: First International Congress of Chinese Mathematicians (Beijing, 1998), AMS/IP Studies in Advances Mathematics, vol. 20. American Mathematical Soceity, Providence, RI, pp. 279--289 (2001) Calabi-Yau manifolds (algebro-geometric aspects), Poisson manifolds; Poisson groupoids and algebroids, 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) C. Bachas, \textit{A way to break supersymmetry}, hep-th/9503030 [INSPIRE]. Unified quantum theories, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Symmetry breaking in quantum theory, 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) 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) Supersymmetric field theories in quantum mechanics, Symmetry breaking in quantum theory, 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) Yang-Mills and other gauge theories 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) P. Candelas, X.C. De La Ossa, P.S. Green and L. Parkes, \textit{A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory}, \textit{Nucl. Phys.}\textbf{B 359} (1991) 21 [\textit{AMS/IP Stud. Adv. Math. 9} (1998) 31] [INSPIRE]. Period matrices, variation of Hodge structure; degenerations, Moduli, classification: analytic theory; relations with modular forms, \(3\)-folds, Deformations of complex structures, Applications of deformations of analytic structures to the sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Special Riemannian manifolds (Einstein, Sasakian, etc.), Global differential geometry of Hermitian and Kählerian manifolds, Calabi-Yau theory (complex-analytic aspects), Positive solutions to nonlinear boundary value problems for ordinary differential equations, Fano varieties
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