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math.DG2022★ 7 cited
Harmonic metrics of generically regular semisimple Higgs bundles on non-compact Riemann surfaces
Qiongling Li, Takuro Mochizuki
We prove that a generically regular semisimple Higgs bundle equipped with a non-degenerate symmetric pairing on any Riemann surface always has a harmonic metric compatible with the…
math.DG2022
Bounded differentials on unit disk and the associated geometry
Song Dai, Qiongling Li
For a harmonic diffeomorphism between the Poincaré disks, Wan showed the equivalence between the boundedness of the Hopf differential and the quasi-conformality. In this paper, we…