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arXiv · 1002.3129

Cohomology of hyperplane complements with group ring coefficients

Michael W Davis·Tadeusz Januszkiewicz·Ian J Leary·Boris Okun
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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.

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Michael W Davis, Tadeusz Januszkiewicz, Ian J Leary, Boris Okun. 2010-02-23. Cohomology of hyperplane complements with group ring coefficients. https://arxiv.org/abs/1002.3129

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