Cohomology of toroidal orbifold quotients

JOURNAL OF ALGEBRA

卷:344

Article

Adem, Alejandro¹  Duman, Ali Nabi¹  Gomez, Jose Manuel¹ 

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

关键词: Toroidal orbifolds;    Crystallographic groups;    Serre spectral sequence;    Group cohomology;   

DOI  :  10.1016/j.jalgebra.2011.08.004

来源: Elsevier

【 摘 要 】

Let phi : Z/p -> GL(n)(Z) denote an integral representation of the cyclic group of prime order p. This induces a Z/p-action on the torus X = R(n)/Z(n). The goal of this paper is to explicitly compute the cohomology groups H*(X /Z/p; Z) for any such representation. As a consequence we obtain an explicit calculation of the integral cohomology of the classifying space associated to the family of finite subgroups for any crystallographic group Gamma =Z(n) x Z/p with prime holonomy. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.

【 授权许可】

Free