Hyperplane arrangements and K-theory

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• 作者：Nicholas Proudfoot
• 刊名：Topology and its Applications
• 出版年：2006
• 出版时间：1 September 2006
• 年：2006
• 卷：153
• 期：15
• 页码：2866-2875
• 全文大小：170 K

文摘

We study the -equivariant K-theory of , where is the complement of the complexification of a real hyperplane arrangement, and acts on by complex conjugation. We compute the rational equivariant K- and KO-rings of , and we give two different combinatorial descriptions of a subring of the integral equivariant KO-ring, where is defined to be the subring generated by equivariant line bundles.