Localization of the Riemann-Roch character

dc.creatorParadan, Paul-Emile
dc.date1999-11-04
dc.date2001-05-23
dc.date.accessioned2026-07-07T05:31:26Z
dc.date.available2026-07-07T05:31:26Z
dc.descriptionWe present a K-theoritic approach to the Guillemin-Sternberg conjecture, about the commutativity of geometric quantization and symplectic reduction, which was proved by Meinrenken and Tian-Zhang. Besides providing a new proof of this conjecture for the full non-abelian group action case, our methods lead to a generalisation for compact Lie group actions on manifolds that are not symplectic. Instead, these manifolds carry an invariant almost complex structure and an abstract moment map.
dc.descriptionrevised version, 55 pages
dc.identifierhttps://arxiv.org/abs/math/9911024
dc.identifierhttp://arxiv.org/abs/math/9911024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79343
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.subjectSymplectic Geometry
dc.titleLocalization of the Riemann-Roch character
dc.typetext

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