4 papers
Nonlinear Bochner-Kodaira-Nakano identity and nonlinear Hodge correspondence for morphisms
Nianzi Li, Mao Sheng
We establish a nonlinear Bochner-Kodaira-Nakano identity for sections of complex fiber bundles. As applications, we obtain a nonlinear Bochner-type vanishing theorem for holomorphi…
Connections, metrics and Higgs fields on complex fiber bundles
Nianzi Li, Mao Sheng
We give a differential-geometric representation of the extension class associated to a holomorphic fibration, generalizing the work of Atiyah on holomorphic principal bundles in a…
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…
Asymptotic Geometry of the Moduli Space of Rank Two Irregular Higgs Bundles over the Projective Line
Gao Chen, Nianzi Li
We study the asymptotic behavior of Hitchin's hyperkähler metric on the moduli space of rank two irregular Higgs bundles over . Along a generic curve, we prove that…