Triply Periodic Monopoles and Difference Modules on Elliptic Curves
Differential Geometry
2020-06-04 v3 Algebraic Geometry
Abstract
We explain the correspondences between twisted monopoles with Dirac type singularity and polystable twisted mini-holomorphic bundles with Dirac type singularity on a 3-dimensional torus. We also explain that they are equivalent to polystable parabolic twisted difference modules on elliptic curves.
Cite
@article{arxiv.1903.03264,
title = {Triply Periodic Monopoles and Difference Modules on Elliptic Curves},
author = {Takuro Mochizuki},
journal= {arXiv preprint arXiv:1903.03264},
year = {2020}
}