Noncommutative Poisson structures on Orbifolds

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dc.creatorHalbout, Gilles
dc.creatorTang, Xiang
dc.date2006-06-19
dc.date2009-05-21
dc.date.accessioned2026-07-07T13:16:55Z
dc.date.available2026-07-07T13:16:55Z
dc.descriptionIn this paper, we compute the Gerstenhaber bracket on the Hoch-schild cohomology of $C^\infty(M)\rtimes G$ for a finite group $G$ acting on a compact manifold $M$. Using this computation, we obtain geometric descriptions for all noncommutative Poisson structures on $C^\infty(M)\rtimes G$ when $M$ is a symplectic manifold. We also discuss examples of deformation quantizations of these noncommutative Poisson structures.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0606436
dc.identifierhttp://arxiv.org/abs/math/0606436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230947
dc.subjectQuantum Algebra
dc.subjectDifferential Geometry
dc.subject16E40; 58B34
dc.titleNoncommutative Poisson structures on Orbifolds
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