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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 068, 66 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.068 (Mi sigma1750) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Good Wild Harmonic Bundles and Good Filtered Higgs Bundles

Takuro Mochizuki

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
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DOI: https://doi.org/10.3842/SIGMA.2021.068
Abstract: We prove the Kobayashi–Hitchin correspondence between good wild harmonic bundles and polystable good filtered $\lambda$-flat bundles satisfying a vanishing condition. We also study the correspondence for good wild harmonic bundles with the homogeneity with respect to a group action, which is expected to provide another way to construct Frobenius manifolds.
Keywords: wild harmonic bundles, Higgs bundles, $\lambda$-flat bundles, Kobayashi–Hitchin correspondence.
Funding agency Grant number
Japan Society for the Promotion of Science 17H06127
16H06335
21H04429
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), the Grant-in-Aid for Scientific Research (A) (No. 21H04429), the Grant-in-Aid for Scientific Research (C) (No. 15K04843), and the Grant-in-Aid for Scientific Research (C) (No. 20K03609), Japan Society for the Promotion of Science.
Received: July 16, 2020; in final form June 28, 2021; Published online July 17, 2021
Bibliographic databases:
Document Type: Article
MSC: 53C07, 58E15, 14D21, 81T13
Language: English
Citation: Takuro Mochizuki, “Good Wild Harmonic Bundles and Good Filtered Higgs Bundles”, SIGMA, 17 (2021), 068, 66 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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