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arXiv:1902.08298 [math.DG]AbstractReferencesReviewsResources

Good wild harmonic bundles and good filtered Higgs bundles

Takuro Mochizuki

Published 2019-02-21Version 1

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

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