Equivariant simplicial cohomology with local coefficients and its classification

被引：4

作者：

Mukherjee, Goutam ^{[1
]}

Sen, Debasis ^{[1
]}

机构：

[1] Indian Stat Inst, Kolkata 700108, India

来源：

TOPOLOGY AND ITS APPLICATIONS | 2010年 / 157卷 / 06期

关键词：

Simplicial sets; Local coefficients; Group action; Equivariant cohomology; Classification; Generalized Eilenberg-MacLane complex;

D O I：

10.1016/j.topol.2010.01.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce equivariant twisted cohomology of a simplicial set equipped with simplicial action of it discrete group and prove that for suitable twisting function induced from a given equivariant local coefficients, the simplicial version of Bredon-Illman cohomology with local coefficients is isomorphic to equivariant twisted cohomology. The main aim of this paper is to prove a classification theorem for equivariant simplicial cohomology with local coefficients. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1015 / 1032

页数：18

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