From spatially periodic instantons to singular monopoles
Differential Geometry
2007-05-23 v2
Abstract
The main result is a computation of the Nahm transform of a SU(2)-instanton over RxT^3, called spatially-periodic instanton. It is a singular monopole over T^3, a solution to the Bogomolny equation, whose rank is computed and behavior at the singular points is described.
Cite
@article{arxiv.math/0410561,
title = {From spatially periodic instantons to singular monopoles},
author = {Benoit Charbonneau},
journal= {arXiv preprint arXiv:math/0410561},
year = {2007}
}
Comments
23 pages. Major revision: proofs added for Lemma 4.1, Theorem 4.2, and Corollary 6.3, and many typos corrected