The Duistermaat-Heckman formula with application to circle actions and Poincaré q-polynomials in twisted equivariant K-theory

DOI10.1063/1.5030105zbMath1410.53081arXiv2011.11053OpenAlexW3106620320MaRDI QIDQ4621257

Andrei A. Bytsenko, Masud Chaichian, Antonio E. Gonçalves

Publication date: 11 February 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.11053

zbMATH Keywords

equivariant cohomologyorbit spacelocalizationelliptic generatwisted equivariant K-theory

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Momentum maps; symplectic reduction (53D20) Elliptic genera (58J26) Equivariant (K)-theory (19L47) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Topology and geometry of orbifolds (57R18) Twisted (K)-theory; differential (K)-theory (19L50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(S\)-functions, spectral functions of hyperbolic geometry, and vertex operators with applications to structure for Weyl and orthogonal group invariants
• Partition functions for quantum gravity, black holes, elliptic genera and Lie algebra homologies
• The loop orbifold of the symmetric product
• Index theorem and equivariant cohomology on the loop space
• Localization formulas, superconnections, and the index theorem for families
• On the variation in the cohomology of the symplectic form of the reduced phase space
• Two dimensional gauge theories revisited
• Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series
• Equivariant \(K\)-theory, generalized symmetric products, and twisted Heisenberg algebra
• Twisted orbifold K-theory
• Circle actions and higher elliptic genera
• The Jacobi orientation and the two-variable elliptic genus
• A decomposition of equivariant K-theory in twisted equivariant K-theories
• Localization of Equivariant Cohomology for Compact and Non-Compact Group Actions
• Summation Theorems for Hypergeometric Series in $U(n)$
• The planar approximation. II
• Localization and diagonalization: A review of functional integral techniques for low-dimensional gauge theories and topological field theories
• Twisted equivariantK-theory with complex coefficients
• Quantization and unitary representations