Doubly periodic monopoles and $q$-difference modules
Differential Geometry
2019-02-12 v1 Algebraic Geometry
Complex Variables
Abstract
An interesting theme in complex differential geometry is to find a correspondence between algebraic objects and differential geometric objects. One of the most attractive is the non-abelian Hodge theory of Simpson. In this paper, pursuing an analogue of the non-abelian Hodge theory in the context of -difference modules, we study Kobayashi-Hitchin correspondences between doubly periodic monopoles and parabolic -difference modules, depending on twistor parameters.
Keywords
Cite
@article{arxiv.1902.03551,
title = {Doubly periodic monopoles and $q$-difference modules},
author = {Takuro Mochizuki},
journal= {arXiv preprint arXiv:1902.03551},
year = {2019}
}