arXiv Analytics

Sign in

arXiv:1002.3129 [math.AT]AbstractReferencesReviewsResources

Cohomology of hyperplane complements with group ring coefficients

Michael W Davis, Tadeusz Januszkiewicz, Ian J Leary, Boris Okun

Published 2010-02-16, updated 2010-02-23Version 2

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.

Comments: Second version corrects some misprints in the definition of U_G
Categories: math.AT, math.GT
Subjects: 55N25, 20J06, 32S22, 57N65
Related articles: Most relevant | Search more
arXiv:math/0612404 [math.AT] (Published 2006-12-14, updated 2007-03-15)
The l^2-cohomology of hyperplane complements
arXiv:math/0008230 [math.AT] (Published 2000-08-30)
The Cohomology of the Sylow 2-subgroup of the Higman-Sims Group
arXiv:0711.5020 [math.AT] (Published 2007-11-30)
The cohomology of certain groups

Links

Toolbox