Cohomology of hyperplane complements with group ring coefficients
Algebraic Topology
2010-02-23 v2 Geometric Topology
Abstract
We compute the cohomology with group ring coefficients of the complement of a finite collection of affine hyperplanes in a finite dimensional complex vector space. It is nonzero in exactly one degree, namely the degree equal to the rank of the hyperplane arrangement.
Cite
@article{arxiv.1002.3129,
title = {Cohomology of hyperplane complements with group ring coefficients},
author = {Michael W Davis and Tadeusz Januszkiewicz and Ian J Leary and Boris Okun},
journal= {arXiv preprint arXiv:1002.3129},
year = {2010}
}
Comments
Second version corrects some misprints in the definition of U_G