Hyperk\"ahler Nahm transform

Claudio Bartocci; Marcos Jardim

Hyperk\"ahler Nahm transform

微分几何 2007-05-23 v1

作者: Claudio Bartocci , Marcos Jardim

摘要

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.

引用

@article{arxiv.math/0312045,
  title  = {Hyperk\"ahler Nahm transform},
  author = {Claudio Bartocci and Marcos Jardim},
  journal= {arXiv preprint arXiv:math/0312045},
  year   = {2007}
}

备注

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

Hyperk\"ahler Nahm transform

摘要

引用

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