English

Construction of doubly-periodic instantons

Differential Geometry 2009-10-31 v3 Mathematical Physics math.MP

Abstract

We construct finite energy instanton connection on R4R^4 which are periodic in two directions via an analogue of the Nahm transform for certain singular solutions of Hitchin's equations defined over a 2-torus.

Cite

@article{arxiv.math/9909069,
  title  = {Construction of doubly-periodic instantons},
  author = {Marcos Jardim},
  journal= {arXiv preprint arXiv:math/9909069},
  year   = {2009}
}

Comments

Final version to appear on CMP

R2 v1 2026-07-22T18:04:28.253Z