3 papers
math.GT2020
Classification of tight contact structures on a solid torus
Zhenkun Li, Jessica J. Zhang
It is a basic question in contact geometry to classify all non-isotopic tight contact structures on a given 3-manifold. If the manifold has a boundary, we need also specify the div…
math.GT2018
Trunk of Satellite and Companion Knots
Nithin Kavi, Wendy Wu, Zhenkun Li
We study the knot invariant called trunk, as defined by Ozawa, and the relation of the trunk of a satellite knot with the trunk of its companion knot. Our first result is ${\rm tru…
math.GT2018
Width of the Whitehead double of a nontrivial knot
Zhenkun Li, Qilong Guo
In this paper, we prove that , where is the width of a knot and is the Whitehead double of a nontrivial knot .