A hyperkahler structure on the cotangent bundle of a complex Lie group

Abstract

Let G be compact Lie group. It is shown that the cotangent bundle of the complexification of G admits a hyperkahler structure which is invariant under left and right translations by elements of G. The proof is to realize the cotangent bundle of the complex group as a moduli space of solutions to Nahm's equations on the closed interval.

This paper was originally written in 1988 but not published. It is being made available now in electronic form