Formality in an equivariant setting

被引：14
|
作者：
Lillywhite, S [1 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 355卷 / 07期
关键词：
rational homotopy theory; equivariant cohomology; bar complexes; loop spaces; homotopical algebra;
D O I：
10.1090/S0002-9947-03-03265-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define and discuss G-formality for certain spaces endowed with an action by a compact Lie group. This concept is essentially formality of the Borel construction of the space in a category of commutative differential graded algebras over R=H-circle(BG). These results may be applied in computing the equivariant cohomology of their loop spaces.
引用
收藏
页码：2771 / 2793
页数：23
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