Deformation Quantization and Reduction
Deformation Quantization and Reduction
复制标题
变形量化和减少
DOI：
10.5167/uzh-6703
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
A. Cattaneo
中科院分区：
文献类型：
--
作者：
A. Cattaneo
本文综述了Poisson sigma模型及其在形变量子化中的应用。减少共各向同性和前泊松子流形，他们的外观作为膜的PSM，量子化的L-无限和A-无限代数，双模结构被召回。作为应用，给出了Poisson映射在无反常时的“几乎”函子量子化。这导致在原则上一个新的方法量子化的泊松李群。
This note is an overview of the Poisson sigma model (PSM) and its applications in deformation quantization. Reduction of coisotropic and pre-Poisson submanifolds, their appearance as branes of the PSM, quantization in terms of L-infinity and A-infinity algebras, and bimodule structures are recalled. As an application, an "almost" functorial quantization of Poisson maps is presented if no anomalies occur. This leads in principle to a novel approach for the quantization of Poisson-Lie groups.