$K$-theory of $\mbox{hyperK\"ahler}$ toric manifolds

Abstract

Let $X$ be a toric $\mbox{hyperK\"ahler}$ manifold. The purpose of this note is to describe the topological $K$-ring $K^*(X)$ of $X$. We give a presentation for the topological $K$-ring in terms of generators and relations similar to the known description of the cohomology ring of these manifolds.