Multiplicities formula for geometric quantization. I

DOI10.1215/S0012-7094-96-08206-XzbMath0855.58033OpenAlexW4247006494MaRDI QIDQ1919619

Michèle Vergne

Publication date: 11 February 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08206-x

zbMATH Keywords

multiplicitygeometric quantizationvirtual representation

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Geometric quantization (53D50)

Related Items

Spinc-quantization and the K-multiplicities of the discrete series, A vector partition function for the multiplicities of \(\mathfrak{sl}_k\mathbb C\), On geometric quantization of \(b\)-symplectic manifolds, Quantization commutes with reduction, a survey, Multiplicities formula for geometric quantization. I, Multiplicities formula for geometric quantization. II, Equivariant index formulas for orbifolds, Equivariant index and the moment map for completely integrable torus actions, RR-BS correspondence—a localization phenomenon of the index in geometric quantization, Torus fibrations and localization of index. III: Equivariant version and its applications, On the cohomology of a polarization which contains the generators of a free torus action., Geometric quantization for proper moment maps: the Vergne conjecture, Localization of the Riemann-Roch character, Quantization of presymplectic manifolds and circle actions, Symplectic surgery and the Spin\(^c\)-Dirac operator, Background cohomology of a non-compact Kähler 𝐺-manifold, Witten Non Abelian Localization for Equivariant K-Theory, and the [𝑄,𝑅=0 Theorem], Convex polytopes and quantization of symplectic manifolds

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