Bimodule deformations, Picard groups and contravariant connections

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dc.creatorBursztyn, Henrique
dc.creatorWaldmann, Stefan
dc.date2002-07-26
dc.date2003-09-25
dc.date.accessioned2026-07-07T04:49:53Z
dc.date.available2026-07-07T04:49:53Z
dc.descriptionWe study deformations of invertible bimodules and the behavior of Picard groups under deformation quantization. While K_0-groups are known to be stable under formal deformations of algebras, Picard groups may change drastically. We identify the semiclassical limit of bimodule deformations as contravariant connections and study the associated deformation quantization problem. Our main focus is on formal deformation quantization of Poisson manifolds by star products.
dc.description32 pages. Minor corrections in Sections 5 and 6, typos fixed. Revised version to appear in K-theory
dc.identifierhttps://arxiv.org/abs/math/0207255
dc.identifierhttp://arxiv.org/abs/math/0207255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64596
dc.subjectQuantum Algebra
dc.subjectK-Theory and Homology
dc.subjectSymplectic Geometry
dc.titleBimodule deformations, Picard groups and contravariant connections
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