Deformation quantization of pseudo-symplectic (Poisson) groupoids |
| |
Authors: | Xiang Tang |
| |
Affiliation: | (1) Department of Mathematics, University of California at Davis, Davis, CA 95616, USA |
| |
Abstract: | We introduce a new kind of groupoid—a pseudo-étale groupoid, which provides many interesting examples of noncommutative Poisson algebras as defined by Block, Getzler, and Xu. Following the idea that symplectic and Poisson geometries are the semiclassical limits of the corresponding quantum geometries, we quantize these noncommutative Poisson algebras in the framework of deformation quantization. Received: September 2004 Revision: September 2005 Accepted: September 2005 Dedicated to A. Weinstein on his 60th birthday |
| |
Keywords: | Groupoid Poisson structure quantization formality |
本文献已被 SpringerLink 等数据库收录! |
|