On the equivariant de Rham cohomology for non-compact Lie groups

被引：1

作者：

Arias Abad, Camilo ^{[1
]}

Uribe, Bernardo ^{[2
]}

机构：

[1] Univ Nacl Colombia, Escuela Matemat, Medellin, Colombia

[2] Univ Norte, Dept Matemat & Estadist, Barranquilla, Colombia

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2015年 / 39卷

关键词：

Equivariant Cartan complex; Non-compact Lie group; Equivariant cohomology;

D O I：

10.1016/j.difgeo.2015.02.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a connected and non-necessarily compact Lie group acting on a connected manifold M. In this short note we announce the following result: for a G-invariant closed differential form on M, the existence of a closed equivariant extension in the Cartan model for equivariant cohomology is equivalent to the existence of an extension in the homotopy quotient. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：184 / 189

页数：6

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