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Good Wild Harmonic Bundles and Good Filtered Higgs Bundles (1902.08298v6)
Published 21 Feb 2019 in math.DG and math.AG
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.
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