Triply Periodic Monopoles and Difference Modules on Elliptic Curves

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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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: Mochizuki, Takuro
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210702
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Triply Periodic Monopoles and Difference Modules on Elliptic Curves. Takuro Mochizuki. SIGMA 16 (2020), 048, 23 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:1815-0659