Hyperkähler Nahm transform

Abstract

Given two hyperkähler manifolds $M$ and $N$ and a quaternionic instanton on their product, a hyperkähler Nahm transform can be defined, which maps quaternionic instantons on $M$ to quaternionic instantons on $N$. This construction includes the case of Nahm transform for periodic instantons on $\bR^4$, the Fourier-Mukai transform for instantons on K3 surfaces, as well as the Nahm transform for ALE instantons.

Presented at "Workshop on algebraic structures and moduli spaces", July 14 - 20, 2003, CRM, Univ. de Montreal

References in corpus (1)

• A survey on Nahm transform