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.
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页码：18 / 29
页数：11
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