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20122025
most citedExtending finite group actions on surfaces over

6 citations · 14 across the 8 of their papers we have counts for

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9 papers · 1 filter

math.GT2025

A remark on the counterexample to the unknotting number conjecture

Chao Wang, Yimu Zhang

By using Snappy, M. Brittenham and S. Hermiller discovered a very surprising example that , where is the -toru…

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 on pairs , where denotes a compact connected surface embedded in . In a previous paper, we consid…

math.GT2017★ 4 cited

Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry

Chao Wang, Shicheng Wang, Yimu Zhang +1

The symmetries of surfaces which can be embedded into the symmetries of the 3-dimensional Euclidean space are easier to feel by human's intuition. We give the maximu…

math.GT2015★ 1 cited

Graphs in the 3--sphere with maximum symmetry

Chao Wang, Shicheng Wang, Yimu Zhang +1

We consider the orientation-preserving actions of finite groups on pairs , where is a connected graph of genus , embedded in . For each we give the…

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…

math.GT2013★ 1 cited

Maximum Orders of Cyclic and Abelian Extendable Actions on Surfaces

Chao Wang, Yimu Zhang

Let be a closed surface embedded in . If a group can acts on the pair , then we call such a group action on extendable over . In this pa…