A K-Theoretic Note on Geometric Quantization

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dc.creatorMetzler, David S.
dc.date1998-09-07
dc.date.accessioned2026-07-07T05:25:54Z
dc.date.available2026-07-07T05:25:54Z
dc.descriptionWe show that the results of the paper Symplectic Reduction and Riemann-Roch for Circle Actions of Duistermaat, Guillemin, Meinrenken and Wu can be expressed entirely in K-theory. We show that their quantization is simply a pushforward in K-theory, and use Lerman's symplectic cutting and the localization theorem in equivariant K-theory to prove that quantization commutes with reduction. Only the case where the action is free on the zero level set of the moment map is addressed.
dc.description11 pages, LaTeX 2e using amsmath, xypic
dc.identifierhttps://arxiv.org/abs/math/9809031
dc.identifierhttp://arxiv.org/abs/math/9809031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77362
dc.subjectSymplectic Geometry
dc.subjectK-Theory and Homology
dc.subject58F06
dc.titleA K-Theoretic Note on Geometric Quantization
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