English

Width of a satellite knot and its companion

Geometric Topology 2018-03-16 v3

Abstract

In the paper we prove the conjecture by Alexander Zupan that w(K)n2w(J)w(K) \geqslant n^2w(J) where w denote the width and KK and JJ are satellite knot and its companion with winding number nn. Also we proved that for satellite knot with braid pattern, the equality holds.

Keywords

Cite

@article{arxiv.1412.3874,
  title  = {Width of a satellite knot and its companion},
  author = {Zhenkun Li and Qilong Guo},
  journal= {arXiv preprint arXiv:1412.3874},
  year   = {2018}
}