Poisson Actions up to Homotopy and their Quantization |
| |
| Authors: | Pavol Ševera |
| |
| Institution: | (1) Section de Mathètiques, Université de Genève, 2-4 rue du Lièvre, Genève, 1211, Switzerland;(2) Department of Theoretical Physics, Mlynská dolina F2, Bratislava, 84248, Slovakia |
| |
| Abstract: | Symmetries of Poisson manifolds are in general quantized just to symmetries up to homotopy of the quantized algebra of functions. It is therefore interesting to study symmetries up to homotopy of Poisson manifolds. We notice that they are equivalent to Poisson principal bundles and describe their quantization to symmetries up to homotopy of the quantized algebras of functions, using the formality theorem of Kontsevich.Supported in part by the Swiss National Science Foundation |
| |
| Keywords: | Poisson manifolds actions up to homotopy moment maps deformation quantization |
| 本文献已被 SpringerLink 等数据库收录！ |
|
