Quantisation of presymplectic manifolds, $K$-theory and group representations

DOI10.1090/S0002-9939-2015-12464-1zbMath1320.53110arXiv1211.0107OpenAlexW2963513526MaRDI QIDQ5246892

Peter Hochs

Publication date: 22 April 2015

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

Full work available at URL: https://arxiv.org/abs/1211.0107

zbMATH Keywords

semisimple Lie groupdiscrete seriesprequantisable Hamiltonian \( K\)-manifold

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Geometric quantization (53D50) Index theory (19K56)

Related Items (7)

Formal geometric quantisation for proper actions ⋮ An equivariant index for proper actions. III: The invariant and discrete series indices ⋮ Positive scalar curvature and Poincaré duality for proper actions ⋮ Positive scalar curvature and an equivariant Callias-type index theorem for proper actions ⋮ Spin-structures and proper group actions ⋮ Geometric quantization and families of inner products ⋮ Quantization of polysymplectic manifolds

Cites Work

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• Singular reduction and quantization
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• The Connes-Kasparov conjecture for almost connected groups and for liner \(p\)-adic groups
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• Geometric quantization and families of inner products
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• Spinc-quantization and the K-multiplicities of the discrete series
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