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Hyperplane arrangements and K-theory

arXiv:math/0406373

Abstract

We study the Z/2-equivariant K-theory of the complement of the complexification of a real hyperplane arrangement. We compute the rational K and KO rings, and give two different combinatorial descriptions of the subring of the integral KO ring generated by line bundles.

11 pages, no figures; final version, to appear in Topology and its Applications

Hyperplane arrangements and K-theory · wovepaper