39 citations · 117 across the 8 of their papers we have counts for
8 papers
Asymptotic Geometry of the Moduli Space of Rank Two Irregular Higgs Bundles over the Projective Line
Gao Chen, Nianzi Li
We study the asymptotic behavior of Hitchin's hyperkähler metric on the moduli space of rank two irregular Higgs bundles over . Along a generic curve, we prove that…
Collapsing Ricci-flat metrics on elliptic K3 surfaces
Gao Chen, Jeff Viaclovsky, Ruobing Zhang
For any elliptic K3 surface , we construct a family of collapsing Ricci-flat Kähler metrics such that curvatures are uniformly b…
G manifolds with nodal singularities along circles
Gao Chen
The goal of this paper is the construction of a compact manifold with G holonomy and nodal singularities along circles using twisted connected sum method. This paper finds matc…
Rate of asymptotic convergence near isolated singularity of G manifold
Gao Chen
In this paper, a metric with G holonomy and slow rate of convergence to the cone metric is constructed on a ball inside the cone over the flag manifold.
Shi-type estimates and finite time singularities of flows of G structures
Gao Chen
In this paper, we extend Lotay-Wei's Shi-type estimate from Laplacian flow to more general flows of G structures including the modified Laplacian co-flow. Then we prove a versi…
Gravitational instantons with faster than quadratic curvature decay (III)
Gao Chen, Xiuxiong Chen
This is our third paper in a series on the gravitational instantons. In this paper, we classify ALG and ALH gravitational instantons. In ALG case, we extend Hein's construction sli…
Gravitational instantons with faster than quadratic curvature decay (II)
Gao Chen, Xiuxiong Chen
This is our second paper in a series to study gravitational instantons, i.e. complete hyperkäler 4-manifolds with faster than quadratic curvature decay. We prove two main theorems:…
Gravitational instantons with faster than quadratic curvature decay (I)
Gao Chen, Xiuxiong Chen
In this paper, we study gravitational instantons (i.e., complete hyperkäler 4-manifolds with faster than quadratic curvature decay). We prove three main theorems: 1.Any gravitation…