  The aim of this paper is to describe the topological $K$-ring, in terms of
generators and relations, of a Springer variety $\mathcal{F}_{\lambda}$ of type
$A$ associated to a nilpotent operator having Jordan canonical form whose block
sizes form a weakly decreasing sequence $\lambda=(\lambda_1,\ldots,
\lambda_l)$. Our description parallels the description of the integral
cohomology ring of $\mathcal{F}_{\lambda}$ due to Tanisaki and also the
equivariant analogue due to Abe and Horiguchi.
