Bimodule Deformations, Picard Groups and Contravariant Connections |
| |
| Authors: | Henrique Bursztyn and Stefan Waldmann |
| |
| Institution: | (1) Départment de Mathématiques, Université Libre de Bruxelles, CP 218, Campus Plaine, 1050 Brussels, Belgium;(2) Fakultät für Mathematik und Physik, Albert-Ludwigs-Universität Freiburg, Physikalisches Institut, Hermann Herder Straß e 3, D 79104 Freiburg, Germany |
| |
| Abstract: | 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. |
| |
| Keywords: | bimodule deformations deformation quantization Morita equivalence Picard group |
| 本文献已被 SpringerLink 等数据库收录！ |
|
