Spin-quantization commutes with reduction

DOI10.4310/JSG.2012.V10.N3.A2zbMath1272.81091arXiv0911.1067MaRDI QIDQ695356

Paul-Emile Paradan

Publication date: 21 December 2012

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1067

zbMATH Keywords

compact Hamiltonian \(K\)-manifoldsKostant-Souriau line bundlespin-quantization

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Spinor and twistor methods applied to problems in quantum theory (81R25) Geometry and quantization, symplectic methods (81S10) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (7)

Restriction of irreducible unitary representations of 𝑆𝑝𝑖𝑛(𝑁,1) to parabolic subgroups ⋮ The multiplicities of the equivariant index of twisted Dirac operators ⋮ Kirillov's formula and Guillemin-Sternberg conjecture ⋮ Kirillov's orbit method: the case of discrete series representations ⋮ Witten Non Abelian Localization for Equivariant K-Theory, and the [𝑄,𝑅=0 Theorem] ⋮ Quantisation of presymplectic manifolds, $K$-theory and group representations ⋮ Quantization of polysymplectic manifolds

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