From the 1 of 5 linked papers with an AI index.
5 papers
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…
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…
Uniformization as Tannakian Reconstruction
Xiaojin Lin, Mao Sheng
Classical hyperbolic uniformization identifies every hyperbolic log-orbi curve with a compactified quotient of the upper half-plane by a cofinite Fuchsian lattice. The lattice is u…
Nonlinear Harmonic Bundles
Mao Sheng
We generalize the notion of harmonic bundles in nonabelian Hodge theory to the nonlinear setting.
Nonabelian Kodaira-Spencer maps
Yixuan Fu, Mao Sheng
We give an explicit formula of the associated graded map to the nonabelian Gauss-Manin connection with respect to the nonabelian Hodge filtration.