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.
Nonabelian Kodaira-Spencer maps
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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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2026 1verdicts
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Nonlinear Hodge correspondence for morphisms
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.