射影等变量子化映射
微分几何
2010-12-23 v2
摘要
设M为配备对称仿射联络的流形。本文旨在描述从余切丛T^{*} M上的二阶多项式空间到二阶线性微分算子空间的一个量子化映射,二者均视为M上微分同胚群与向量场李代数作用下的模。对于某些常量的几乎所有取值,该映射是同构,且它仅依赖于仿射联络的射影类。
引用
@article{arxiv.math/0003054,
title = {Projectively Equivariant Quantization Map},
author = {S. Bouarroudj},
journal= {arXiv preprint arXiv:math/0003054},
year = {2010}
}
备注
The results of this paper have been surpassed by several results. The title has been corrected to avoid wrong citations