Equivariant de Rham cohomology: theory and applications

被引：3
|
作者：
Goertsches, Oliver [1 ]
Zoller, Leopold [1 ]
机构：
[1] Philipps Univ Marburg, Fachbereich Math & Informat, Hans Meerwein Str, D-35032 Marburg, Germany
来源：
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2019年 / 13卷 / 02期
关键词：
Lie group actions; Equivariant Cohomology; Cartan model; Equivariant formality; Fixed points; TORUS ACTIONS; FORMALITY;
D O I：
10.1007/s40863-019-00129-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This is a survey on the equivariant cohomology of Lie group actions on manifolds, from the point of view of de Rham theory. Emphasis is put on the notion of equivariant formality, as well as on applications to ordinary cohomology and to fixed points.
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页码：539 / 596
页数：58
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