3 citations · 5 across the 5 of their papers we have counts for
5 papers
Surgeries on knots and tight contact structures
Zhenkun Li, Shunyu Wan, Hugo Zhou
For any knot in and any positive rational , we show that smooth -surgery on always admits a tight contact structure. More specifically, the tightness is dete…
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…
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…
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 .
Width of a satellite knot and its companion
Zhenkun Li, Qilong Guo
In the paper we prove the conjecture by Alexander Zupan that where w denote the width and and are satellite knot and its companion with winding num…