Hyperkähler Nahm transform

Details Hyperkähler Nahm transform Hyperkähler Nahm transform

2003-12-02

arxiv.org/abs/math/0312045v1

CRM Proc & Lec Notes 38, p. 103-111 (2004)

Mathematics

Differential Geometry

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

Scientific paper

Given two hyperk\"ahler manifolds $M$ and $N$ and a quaternionic instanton on their product, a hyperk\"ahler 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.

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