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Hyperkähler Nahm transform

Claudio Bartocci·Marcos Jardim
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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.

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Claudio Bartocci, Marcos Jardim. 2003-12-02. Hyperkähler Nahm transform. https://arxiv.org/abs/math/0312045

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