Spatially periodic instantons: Nahm transform and moduli
Differential Geometry
2021-05-13 v1
Abstract
This paper establishes that the Nahm transform sending spatially periodic instantons (instantons on the product of the real line and a three-torus) to singular monopoles on the dual three-torus is indeed a bijection as suggested by the heuristic. In the process, we show how the Nahm transform intertwines to a Fourier-Mukai transform via Kobayashi-Hitchin correspondences. We also prove existence and non-existence results.
Cite
@article{arxiv.1712.05075,
title = {Spatially periodic instantons: Nahm transform and moduli},
author = {Benoit Charbonneau and Jacques Hurtubise},
journal= {arXiv preprint arXiv:1712.05075},
year = {2021}
}