Twisted K-Homology and Group-Valued Moment Maps

DOI10.1093/imrn/rnr197zbMath1260.53143arXiv1008.1261OpenAlexW1964822578MaRDI QIDQ4649645

Eckhard Meinrenken

Publication date: 12 November 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1261

zbMATH Keywords

prequantizationquasi-Hamiltonianequivariant index theoremtwisted equivariant K-homology

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50) Equivariant (K)-theory (19L47)

Related Items (17)

Dirac operators on quasi-Hamiltonian \(G\)-spaces ⋮ Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem ⋮ Groupoid equivariant prequantization ⋮ Commutativity of quantization and reduction for quiver representations ⋮ Multiplicative vector fields on bundle gerbes ⋮ \(LT\)-equivariant index from the viewpoint of \(KK\)-theory. A global analysis on the infinite-dimensional Heisenberg group ⋮ Twisted Morava \(K\)-theory and connective covers of Lie groups ⋮ The decomposition formula for Verlinde sums ⋮ Quantization of Hamiltonian loop group spaces ⋮ Riemannian foliations and geometric quantization ⋮ Twisted moduli spaces and Duistermaat-Heckman measures ⋮ Equivariant twisted real \(K\)-theory of compact Lie groups ⋮ A \(K\)-homological approach to the quantization commutes with reduction problem ⋮ Twisted \(K\)-theory, \(K\)-homology, and bivariant Chern-Connes type character of some infinite dimensional spaces ⋮ The ring structure of twisted equivariant \(KK\)-theory for noncompact Lie groups ⋮ Towards a quantization of the double via the enhanced symplectic ``category ⋮ Norm-square localization and the quantization of Hamiltonian loop group spaces

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