harmonic bundles 1higgs bundles 1hodge correspondence 1kähler manifolds 1morphisms 1nonlinear bundles 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
Nonlinear Hodge correspondence for morphisms
Nianzi Li, Mao Sheng
The paper investigates when a global section of a nonlinear harmonic bundle over a compact Kähler manifold is simultaneously flat and Higgs, showing that this equivalence holds onl…
math.DG2026
Connections, metrics and Higgs fields on complex fiber bundles
Nianzi Li, Mao Sheng
We give a representation of the extension class associated to a holomorphic fibration by curvature, generalizing the work of Atiyah on holomorphic principal bundles in a natural wa…
math.DG2025
The asymptotics of the -Hitchin metric on the singular locus: subintegrable systems
Siqi He, Johannes Horn, Nianzi Li
We study the asymptotic hyperkähler geometry of the -Hitchin moduli space over the singular fibers of the Hitchin fibration. We extend the previously kn…