Periodic monopoles and difference modules
Differential Geometry
2021-09-21 v4 Mathematical Physics
Algebraic Geometry
math.MP
Abstract
We study periodic monopoles satisfying some mild conditions, called of GCK type. Particularly, we give a classification of periodic monopoles of GCK type in terms of difference modules with parabolic structure, which is a kind of Kobayashi-Hitchin correspondence between differential geometric objects and algebraic objects. We also clarify the asymptotic behaviour of periodic monopoles of GCK type around infinity.
Keywords
Cite
@article{arxiv.1712.08981,
title = {Periodic monopoles and difference modules},
author = {Takuro Mochizuki},
journal= {arXiv preprint arXiv:1712.08981},
year = {2021}
}
Comments
Explanations are expanded