形式循环IV：手征微分算子
Formal loops IV: Chiral differential operators
摘要：
本文将Gorbounov，Malikov和Schechtman研究的代数簇X上手征微分算子（CDO）的层的系数与本文中引入的形式闭路空间LX的行列式系数联系起来.这两个gerbes的留置权是由一个版本的辛作用同态。LX的行列式形式具有Beilinson和Drinfeld的因式分解结构。在我们的识别中，CDO层对应于这个分解格的分解对象。
英文摘要：
We relate the gerbe of sheaves of chiral differential operators (CDO) on a algebraic variety X, studied by Gorbounov, Malikov and Schechtman, to the determinantal gerbe of the formal loop space LX introduced in our earlier paper. The liens of the two gerbes are related by a version of the symplectic action homomorphism. The determinantal gerbe of LX has a factorization structure in the spirit of Beilinson and Drinfeld. In our identification, sheaves of CDO correspond to factorizing objects of this factorization gerbe.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
