1 citations · 3 across the 8 of their papers we have counts for
8 papers
Hyperbolicity of Brunnian links
Sheng Bai
We present new techniques to show hyperbolicity of links based on geometric/combinatorial topology. Our techniques are applicable to links that have at least one unknotted componen…
Alexander polynomials of ribbon knots and virtual knots
Sheng Bai
We find that Alexander polynomial of a ribbon knot in is determined by the intrinsic singularity information of its ribbon, and give a formula to calculate Alexa…
New criteria and constructions of Brunnian links
Sheng Bai, Weibiao Wang
We present two practical and widely applicable methods, including some criteria and a general procedure, for detecting Brunnian property of a link, if each component is known to be…
Satellite constructions and geometric classification of Brunnian links
Sheng Bai, Jiming Ma
In this paper, we construct two families of satellite constructions for Brunnian links, called the satellite sum and the satellite tie. An interesting fact is that by applying the…
Systoles of hyperbolic surfaces with big cyclic symmetry
Sheng Bai, Yue Gao, Shicheng Wang
We obtain the exact values of the systoles of these hyperbolic surfaces of genus with cyclic symmetries of the maximum order and the next maximum order. Precisely: for genus $g…
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…
Counterexamples to the quadrisecant approximation conjecture
Sheng Bai, Chao Wang, Jiajun Wang
A quadrisecant of a knot is a straight line intersecting the knot at four points. If a knot has finitely many quadrisecants, one can replace each subarc between two adjacent secant…
The most symmetric surfaces in the 3-torus
Sheng Bai, Vanessa Robins, Chao Wang +1
Suppose an orientation preserving action of a finite group on the closed surface of genus extends over the 3-torus for some embedding . Then $…