English

A survey on Nahm transform

Differential Geometry 2007-05-23 v3

Abstract

We review the construction known as the Nahm transform in a generalized context, which includes all the examples of this construction already described in the literature. The Nahm transform for translation invariant instantons on 4\real^4 is presented in an uniform manner. We also analyze two new examples, the first of which being the first example involving a four-manifold that is not complex.

Cite

@article{arxiv.math/0309305,
  title  = {A survey on Nahm transform},
  author = {Marcos Jardim},
  journal= {arXiv preprint arXiv:math/0309305},
  year   = {2007}
}

Comments

Submitted version with minor changes, more references to calorons; written with non-experts in mind; 24 pages