English

Width of the Whitehead double of a nontrivial knot

Geometric Topology 2019-07-16 v2

Abstract

In this paper, we prove that w(K)=4w(J)w(K) =4w(J), where w(.)w(.) is the width of a knot and KK is the Whitehead double of a nontrivial knot JJ.

Keywords

Cite

@article{arxiv.1803.02480,
  title  = {Width of the Whitehead double of a nontrivial knot},
  author = {Zhenkun Li and Qilong Guo},
  journal= {arXiv preprint arXiv:1803.02480},
  year   = {2019}
}

Comments

10 pages, 4 figures. In the new version, we re-draw all the figures and update the acknowledgement