Topological K-Theory for Hilbert Scheme Analogs

Abstract

In geometric representation theory, it is common to compute equivariant $K$ theory of schemes like $Hil{b}^n({\mathbb{A}}^2)$ or $Hil{b}^n(X)$ for an ALE resolution $X\to {\mathbb{A}}^2/\Gamma$. If we abandon the algebraic nature and just look at this homotopically we see close relatives of $B{S}_n$ and $B(\Gamma \wr S_n)$. Therefore we compute the topological K theory of these classifying spaces to fill in a small gap in the literature.

References in corpus (1)

• On Pointed Hopf Algebras with Weyl Groups of exceptional type