8 papers
Liouville theorem for quasi-harmonic sphere
Jiayu Li, Linlin Sun
Let be a compact Riemannian manifold whose universal covering supports a convex function. We prove that it admits no quasi-harmonic sphere. No global growth condition is impose…
Parabolic Bogomolov--Gieseker Inequality and Pluriharmonic Metrics on Regular Parabolic Higgs Sheaves over Compact Kähler Manifolds
Tianshu Jiang, Jiayu Li
We prove a parabolic Bogomolov--Gieseker inequality for stable regular parabolic Higgs sheaves on a compact Kähler manifold \((X,ω)\) equipped with a simple normal crossing divisor…
Orbifold Uniformization of Complex Algebraic Variety via Polystable Parabolic Higgs Bundle
Tianshu Jiang, Jiayu Li
Let \(X\) be a smooth complex projective variety of dimension \(n\geq 2\), and let \(D=D^p+D^c\), \(D^c=\sum_i D_i^c\), be a simple normal crossing divisor. We regard \(D^p\) as th…
Quasisymmetry Enriched Gapless Criticality at Chern Insulator Transitions
Jiayu Li, Feng-Ren Fan, Wang Yao
In continuous topological phase transitions (CTPTs), the low-energy physics is governed by gap-closing subspaces, where approximate "higher" symmetries, termed quasisymmetries, may…
The quantitative behavior of -Yang-Mills-Higgs fields on surfaces
Wanjun Ai, Jiayu Li, Miaomiao Zhu
We investigate the blow-up behavior of -Yang--Mills--Higgs (-YMH) fields over closed Riemannian surfaces with the target fiber being the ro…
Kobayashi-Hitchin Correspondence for Saturated Reflexive Parabolic Sheaves on Kähler manifolds
Tianshu Jiang, Jiayu Li
In this paper, we study the Kobayashi-Hitchin correspondence in the setting of parabolic sheaves with a simple normal crossing divisor over a compact Kähler manifold using the meth…