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arXiv · 1903.03264

Triply Periodic Monopoles and Difference Modules on Elliptic Curves

Takuro Mochizuki
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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.

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Takuro Mochizuki. 2019-03-08. Triply Periodic Monopoles and Difference Modules on Elliptic Curves. https://doi.org/10.3842/sigma.2020.048

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