Periodic monopoles and difference modules
arXiv:1712.08981
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.
Explanations are expanded
Cited by in corpus (5)
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- Non-Abelian Hodge Theory and Related Topics
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- Triply Periodic Monopoles and Difference Modules on Elliptic Curves
- Difference Equations: from Berry Connections to the Coulomb Branch