Integrability, Quantization, and Geometry
Integrability, Quantization, and Geometry
Details
- OL Work ID
- OL26338226W
Subjects
MathematicsInfluenceAlgebraic GeometryTopologyHomology theoryQuantum theoryInfluence (Literary, artistic, etc.)Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- Sheaves, derived categories of sheaves and related constructions [See also 14H60, 14J60, 18F20, 32Lxx, 46M20]Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials [See also 13Nxx, 32C38]Algebraic geometry -- Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] -- Zeta-functions and related questions [See also 11G40] (Birch-Swinnerton-Dyer conjecture)Algebraic geometry -- Surfaces and higher-dimensional varieties {For analytic theory, see 32Jxx} -- Families, moduli, classification: algebraic theoryAlgebraic geometry -- Surfaces and higher-dimensional varieties {For analytic theory, see 32Jxx} -- Mirror symmetry [See also 11G42, 53D37]Algebraic geometry -- Surfaces and higher-dimensional varieties {For analytic theory, see 32Jxx} -- Vector bundles on surfaces and higher-dimensional varieties, and their moduli [See also 14D20, 14F05Special functions (33-XX deals with the properties of functions as functions) {For orthogonal functions, see 42Cxx; for aspects of combinatorics see 05Axx; for number-theoretic aspects see 11-XX; forDifferential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Classical differential geometry -- Higher-dimensional and -codimensioDifferential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]Algebraic geometry -- Surfaces and higher-dimensional varieties {For analytic theory, see 32Jxx} -- Relationships with physicsAssociative rings and algebras {For the commutative case, see 13-XX} -- Hopf algebras, quantum groups and related topics -- Ring-theoretic aspects of quantum groups [See also 17B37, 20G42, 81R50]