7 citations · 12 across the 4 of their papers we have counts for
6 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…
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…
Harmonic maps for Hitchin representations
Qiongling Li
Let be a hyperbolic surface, be a Hitchin representation for , and be the unique -equivariant harmonic map from $(\widetilde S, \widetilde g_…
On the uniqueness of vortex equations and its geometric applications
Qiongling Li
We study the uniqueness of a vortex equation involving an entire function on the complex plane. As geometric applications, we show that there is a unique harmonic map $u:\mathbb{C}…
On cyclic Higgs bundles
Song Dai, Qiongling Li
In this paper, we derive a maximum principle for a type of elliptic systems and apply it to analyze the Hitchin equation for cyclic Higgs bundles. We show several domination result…
Teichmüller Space Is Totally Geodesic In Goldman Space
Qiongling Li
We construct a new Riemannian metric on Goldman space , the space of the equivalence classes of convex projective structures on the surface , and then prove the…