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.

引用

页码：1127 / 1163

页数：37

共 7 条

[1] BLOCH S, 1981, LECT NOTES MATH, V854, P1
[2] CHARACTERISTIC FORMS AND GEOMETRIC INVARIANTS
CHERN, SS
SIMONS, J
[J]. ANNALS OF MATHEMATICS, 1974, 99 (01) : 48 - 69
[3] DIRAC MANIFOLDS
COURANT, TJ
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 319 (02) : 631 - 661
[4] Gerbes of chiral differential operators. II. Vertex algebroids
Gorbounov, V
Malikov, F
Schechtman, V
[J]. INVENTIONES MATHEMATICAE, 2004, 155 (03) : 605 - 680
[5] Gorbounov V, 2003, PROG MATH, V213, P73
[6] Manin triples for lie bialgebroids
Liu, ZJ
Weinstein, A
Xu, P
[J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1997, 45 (03) : 547 - 574
[7] Chiral de Rham complex
Malikov, F
Schechtman, V
Vaintrob, A
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 204 (02) : 439 - 473

← 1 →