Cohomology of hyperplane complements with group ring coefficients

Details Cohomology of hyperplane complements with group ring coefficients Cohomology of hyperplane complements with group ring coefficients

2010-02-16

arxiv.org/abs/1002.3129v2

Mathematics

Algebraic Topology

Second version corrects some misprints in the definition of U_G

Scientific paper

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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