Chao Wang

activity

20122020

most citedExtending finite group actions on surfaces over

S^{3}

6 citations · 6 across the 4 of their papers we have counts for

collaborators

Showing math.GTShow all

8 papers · 1 filter

math.GT2020

Extending periodic automorphisms of surfaces to 3-manifolds

Yi Ni, Chao Wang, Shicheng Wang

Let $G$ be a finite group acting on a connected compact surface $Σ$ , and $M$ be an integer homology 3-sphere. We show that if each element of $G$ is extendable over $M$ with respec…

math.GT2018

A classification of maximally symmetric surfaces in the 3-dimensional torus

Chao Wang, Bruno Zimmermann

If a finite group of orientation-preserving diffeomorphisms of the 3-dimensional torus leaves invariant an oriented, closed, embedded surface of genus g>1 and preserves the orienta…

math.GT2018

Minimal surfaces in the three dimensional sphere with high symmetry

Sheng Bai, Chao Wang, Shicheng Wang

Using the Lawson's existence theorem of minimal surfaces and the symmetries of the Hopf fibration, we will construct symmetric embedded closed minimal surfaces in the three dimensi…

math.GT2017

Bordered surfaces in the 3-sphere with maximum symmetry

Chao Wang, Shicheng Wang, Yimu Zhang +1

We consider orientation-preserving actions of finite groups $G$ on pairs $(S^{3}, Σ)$ , where $Σ$ denotes a compact connected surface embedded in $S^{3}$ . In a previous paper, we consid…

math.GT2016

The most symmetric surfaces in the 3-torus

Sheng Bai, Vanessa Robins, Chao Wang +1

Suppose an orientation preserving action of a finite group $G$ on the closed surface $Σ_{g}$ of genus $g > 1$ extends over the 3-torus $T^{3}$ for some embedding $Σ_{g} \subset T^{3}$ . Then $…

math.GT2015

Alternating Heegaard diagrams and Williams solenoid attractors in 3--manifolds

Chao Wang, Yimu Zhang

We find all Heegaard diagrams with the property "alternating" or "weakly alternating" on a genus two orientable closed surface. Using these diagrams we give infinitely many genus t…