Formal geometric quantization

DOI10.5802/aif.2429zbMath1163.53056arXivmath/0702224OpenAlexW2313335585MaRDI QIDQ1010973

Paul-Emile Paradan

Publication date: 7 April 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702224

zbMATH Keywords

indexsymplectic reductionmoment mapgeometric quantizationtransversally elliptic

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Geometric quantization (53D50) Equivariant (K)-theory (19L47) Riemann-Roch theorems, Chern characters (19L10)

Related Items (13)

The equivariant Riemann-Roch theorem and the graded Todd class ⋮ Symplectic implosion and nonreductive quotients ⋮ On geometric quantization of \(b\)-symplectic manifolds ⋮ Formal geometric quantisation for proper actions ⋮ On non-Abelian symplectic cutting ⋮ Riemannian foliations and geometric quantization ⋮ Torus fibrations and localization of index. II. Local index for acyclic compatible system ⋮ Semi-classical analysis of piecewise quasi-polynomial functions and applications to geometric quantization ⋮ Geometric quantization for proper moment maps: the Vergne conjecture ⋮ On geometric quantization of \(b^m\)-symplectic manifolds ⋮ Formal geometric quantization. III: Functoriality in the \(\mathrm{spin}^c\) setting ⋮ Kirillov's orbit method: the case of discrete series representations ⋮ Witten Non Abelian Localization for Equivariant K-Theory, and the [𝑄,𝑅=0 Theorem]

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