Good Wild Harmonic Bundles and Good Filtered Higgs Bundles

We prove the Kobayashi-Hitchin correspondence between good wild harmonic bundles and polystable good filtered λ-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 pro...

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Published inSymmetry, integrability and geometry, methods and applications
Main Author Mochizuki, Takuro
Format Journal Article
LanguageEnglish
Published 17.07.2021
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ISSN1815-0659
1815-0659
DOI10.3842/SIGMA.2021.068

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Summary:We prove the Kobayashi-Hitchin correspondence between good wild harmonic bundles and polystable good filtered λ-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.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2021.068