Equivariant cohomology and localization for Lie algebroids

被引：0

作者：

U. Bruzzo

L. Cirio

P. Rossi

V. Rubtsov

机构：

[1] Sezione di Trieste,Scuola Internazionale Superiore di Studi Avanzati, Trieste Istituto Nazionale di Fisica Nucleare

[2] Université d’Angers,Département de Mathématiques ITEP Theoretical Division

来源：

Functional Analysis and Its Applications | 2009年 / 43卷

关键词：

Lie algebroid; equivariant cohomology; localization formula;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let M be a manifold carrying the action of a Lie group G, and let A be a Lie algebroid on M equipped with a compatible infinitesimal G-action. Using these data, we construct an equivariant cohomology of A and prove a related localization formula for the case of compact G. By way of application, we prove an analog of the Bott formula.

引用

页码：18 / 29

页数：11