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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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2020
Автор: Mochizuki, Takuro
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2020
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/210702
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Triply Periodic Monopoles and Difference Modules on Elliptic Curves. Takuro Mochizuki. SIGMA 16 (2020), 048, 23 pages

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
Опис
Резюме: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