The first pontryagin class

被引：42
|
作者：
Bressler, Paul [1 ]
机构：
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
来源：
COMPOSITIO MATHEMATICA | 2007年 / 143卷 / 05期
关键词：
courant algebroid; vertex algebroid; gerbe; chiral differential operators;
D O I：
10.1112/S0010437X07002710
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a natural obstruction theoretic interpretation to the first Pontryagin class in terms of Courant algebroids. As an application we calculate the class of the stack of algebras of chiral differential operators. In particular, we establish the existence and uniqueness of the chiral de Rham complex.
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页码：1127 / 1163
页数：37
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