30 citations · 86 across the 18 of their papers we have counts for
4 papers · 1 filter
Complete solutions of Toda equations and cyclic Higgs bundles over non-compact surfaces
Qiongling Li, Takuro Mochizuki
On a Riemann surface with a holomorphic -differential, one can naturally define a Toda equation and a cyclic Higgs bundle with a grading. A solution of the Toda equation is equi…
Isolated singularities of Toda equations and cyclic Higgs bundles
Qiongling Li, Takuro Mochizuki
This paper is the second part of our study on the Toda equations and the cyclic Higgs bundles associated to -differentials over non-compact Riemann surfaces. We classify all the…
Domination results in -Fuchsian fibers in the moduli space of Higgs bundles
Song Dai, Qiongling Li
In this article, we show some domination results on the Hitchin fibration, mainly focusing on the -Fuchsian fibers. More precisely, we show the energy density of associated harm…
Nilpotent Higgs bundles and the Hodge metric on the Calabi-Yau moduli
Qiongling Li
We study an algebraic inequality for nilpotent matrices and show some interesting geometric applications: (i) obtaining topological information for nilpotent polystable Higgs bundl…