3 papers
math.DG2026
Nonlinear Hodge correspondence for morphisms
Nianzi Li, Mao Sheng
We study Higgs sections, flat sections, and their higher-dimensional and functorial analogues in the setting of nonlinear harmonic bundles. For a harmonic vector bundle over a comp…
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 kno…