paper

Cohomology of hyperplane complements with group ring coefficients

arXiv:1002.3129

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.

Second version corrects some misprints in the definition of U_G

Cohomology of hyperplane complements with group ring coefficients · wovepaper