Triply Periodic Monopoles and Difference Modules on Elliptic Curves

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.

References in corpus (4)

• Good Wild Harmonic Bundles and Good Filtered Higgs Bundles
• Some characterizations of Dirac type singularity of monopoles
• Doubly periodic monopoles and $q$-difference modules
• Periodic monopoles and difference modules

Cited by in corpus (1)

• Non-Abelian Hodge Theory and Related Topics