4 papers
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…
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…
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 $…