Witten Non Abelian Localization for Equivariant K-Theory, and the [𝑄,𝑅]=0 Theorem

DOI10.1090/memo/1257zbMath1439.58015arXiv1504.07502OpenAlexW2963276415MaRDI QIDQ5242783

Michèle Vergne, Paul-Emile Paradan

Publication date: 6 November 2019

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07502

zbMATH Keywords

Dirac operatorsgeometric quantizationClifford bundlenon-abelian localization

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Geometric quantization (53D50) Almost complex manifolds (32Q60) Index theory (19K56)

Related Items

Computation of dilated Kronecker coefficients, HORN PROBLEM FOR QUASI-HERMITIAN LIE GROUPS, Quantization of Hamiltonian loop group spaces, Riemannian foliations and geometric quantization, Semi-classical analysis of piecewise quasi-polynomial functions and applications to geometric quantization, A \(KK\)-theoretic perspective on deformed Dirac operators, Quasi-polynomials and the singular \([Q,R=0\) theorem], Kirillov's orbit method: the case of discrete series representations, Norm-square localization and the quantization of Hamiltonian loop group spaces

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