English

Classification and existence of doubly-periodic instantons

Differential Geometry 2007-05-23 v2

Abstract

We present a classification of SU(2) instantons on T2×R2T^2\times\mathbb{R}^2 according to their asymptotic behaviour. We then study the existence of such instantons for different values of the asymptotic parameters, describing explicitly the moduli space for unit charge.

Cite

@article{arxiv.math/0108004,
  title  = {Classification and existence of doubly-periodic instantons},
  author = {Marcos Jardim},
  journal= {arXiv preprint arXiv:math/0108004},
  year   = {2007}
}

Comments

Significant changes made to the text, though results are essentially the same. Version to appear on Quart. J. Math. 17 pages, 2 figures

R2 v1 2026-07-22T16:39:50.152Z