Bimodule deformations, Picard groups and contravariant connections

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.
32 pages. Minor corrections in Sections 5 and 6, typos fixed. Revised version to appear in K-theory

Keywords

Quantum Algebra, K-Theory and Homology, Symplectic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/64596

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207255
 http://arxiv.org/abs/math/0207255

Collections

arXiv