Equivariant K-theory of Springer varieties

Abstract

The aim of this paper is to describe the topological equivariant K-ring, in terms of generators and relations, of a Springer variety Fλ of type A associated to a nilpotent operator having Jordan canonical form whose block sizes form a weakly decreasing sequence λ=(λ1,…,λl). This parallels the description of the equivariant cohomology ring of Fλ due to Abe and Horiguchi and generalizes the description of ordinary topological K-ring of Fλ due to Sankaran and Uma [13].