Hyperplane arrangements and K-theory

2004/06/18 by Nicholas Proudfoot, Proudfoot, Nicholas J.
Mathematics · #52C35 #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.math/0406373

openalex publication_date 2004/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Topology of hyperplane arrangements via real structure
• Complements of hyperplane arrangements as posets of spaces
• Equivariant cohomology and the super reciprocal plane of a hyperplane arrangement
• Yoshinaga's criterion and the Varchenko--Gelfand algebra
• Hodge spectrum of hyperplane arrangements