Hochschild上同调与星乘子的示性类
q-alg
2008-02-03 v2 dg-ga
微分几何
量子代数
摘要
我们证明在辛流形上由形式形变量子化所得代数的Hochschild上同调同构于以该流形de Rham上同调为系数的形式级数。通过对形变参数微分星乘子所得的上同调类被看出与量子化的示性类密切相关。分析中起基础作用的是“量子Liouville算子”，它以Liouville向量场缩放Poisson结构（或作用量单位）的同样方式缩放形变参数。给出了若干例子。
引用
@article{arxiv.q-alg/9709043,
title = {Hochschild cohomology and characteristic classes for star-products},
author = {Alan Weinstein and Ping Xu},
journal= {arXiv preprint arXiv:q-alg/9709043},
year = {2008}
}
备注
LaTex2e, 22 pages, minor corrections in the last section and a reference added (Festschrift for V.I. Arnol'd's 60th birthday, V2, AMS, Providence, to appear)