Equivariant $K$-theory of Springer Varieties

The aim of this paper is to describe the topological equivariant $K$-ring, in terms of generators and relations, of a Springer variety $\mathcal{F}_λ$ of type $A$ associated to a nilpotent operator having Jordan canonical form whose block sizes form a weakly decreasing sequence $λ=(λ_1,\ldots, λ_l)$. This parallels the description of the equivariant cohomology ring of $\mathcal{F}_λ$ due to Abe and Horiguchi and generalizes the description of ordinary topological $K$-ring of $\mathcal{F}_λ$ due to Sankaran and Uma \cite{su}.

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