Triply Periodic Monopoles and Difference Modules on Elliptic Curves

Takuro Mochizuki

Triply Periodic Monopoles and Difference Modules on Elliptic Curves

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arxiv 1903.03264 v3 pith:HT55D75A submitted 2019-03-08 math.DG math.AG

Takuro Mochizuki This is my paper · ORCID

classification math.DGmath.AG

keywords twistedcurvesdifferencediracellipticexplainmodulesmonopoles

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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.

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Non-Abelian Hodge Theory and Related Topics
math.AG 2019-08 conditional novelty 4.0 of 10

A survey of non-Abelian Hodge theory and related moduli spaces, with a new explicit description of Simpson filtrations for rank 3 flat bundles.

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