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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 048, 23 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.048 (Mi sigma1585) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Triply Periodic Monopoles and Difference Modules on Elliptic Curves

Takuro Mochizuki

Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan
Full-text PDF (480 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2020.048
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.
Keywords: twisted monopoles, twisted difference modules, twisted mini-holomorphic bundles, Kobayashi–Hitchin correspondence.
Funding agency Grant number
Japan Society for the Promotion of Science 17H06127
16H06335
15K04843
20K03609
I am partially supported by the Grant-in-Aid for Scientific Research (S) (No. 17H06127), the Grant-in-Aid for Scientific Research (S) (No. 16H06335), and the Grant-in-Aid for Scientific Research (C) (No. 15K04843), Grant-in-Aid for Scientific Research (C) (No. 20K03609), Japan Society for the Promotion of Science.
Received: October 29, 2019; in final form May 18, 2020; Published online June 3, 2020
Bibliographic databases:
Document Type: Article
MSC: 53C07, 58E15, 14D21, 81T13
Language: English
Citation: Takuro Mochizuki, “Triply Periodic Monopoles and Difference Modules on Elliptic Curves”, SIGMA, 16 (2020), 048, 23 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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