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Nonabelian Kodaira-Spencer maps

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abstract

We give an explicit formula of the associated graded map to the nonabelian Gauss-Manin connection with respect to the nonabelian Hodge filtration.

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math.DG 1

years

2026 1

verdicts

ACCEPT 1

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Nonlinear Hodge correspondence for morphisms

math.DG · 2026-07-15 · accept · novelty 8.0

In nonlinear harmonic bundles, a section is flat if and only if it is a Higgs section with vanishing degree; the same equivalence extends to sub-fibrations and morphisms.

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  • Nonlinear Hodge correspondence for morphisms math.DG · 2026-07-15 · accept · none · ref 39 · internal anchor

    In nonlinear harmonic bundles, a section is flat if and only if it is a Higgs section with vanishing degree; the same equivalence extends to sub-fibrations and morphisms.