Equivariant cohomology and sheaves

被引：5
|
作者：
Yang, Haibo [1 ]
机构：
[1] Nanchang Hangkong Aeronaut Univ, Dept Math, Nanchang 330063, Jiangxi, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2014年 / 412卷
关键词：
RO(G)-graded equivariant; cohomology; Cech hypercohomology; Sheaf cohomology; REAL VARIETIES;
D O I：
10.1016/j.jalgebra.2014.05.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
RO(G)-graded equivariant cohomology was originally defined by using equivariant spectra. In this paper we construct a sheaf version of RO(G)-graded equivariant cohomology theory. By introducing a complex of presheaves we obtain an isomorphism theorem of two different cohomology theories. We further apply the results to the study of real algebraic varieties. (C) 2014 Elsevier Inc. All rights reserved.
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页码：230 / 254
页数：25
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