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arxiv: math/0406373 · v2 · submitted 2004-06-18 · 🧮 math.CO · math.KT

Hyperplane arrangements and K-theory

classification 🧮 math.CO math.KT
keywords hyperplanek-theoryarrangementarrangementsbundlescombinatorialcomplementcomplexification
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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.

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