Alternating knots with large boundary slope diameter

Masaharu Ishikawa; Thomas W. Mattman; Kazuya Namiki; Koya Shimokawa

Alternating knots with large boundary slope diameter

Geometric Topology 2019-11-21 v1

Authors: Masaharu Ishikawa , Thomas W. Mattman , Kazuya Namiki , Koya Shimokawa

Abstract

We show that, for an alternating knot, the ratio of the diameter of the set of boundary slopes to the crossing number can be arbitrarily large.

Keywords

knot theory

Cite

@article{arxiv.1911.08562,
  title  = {Alternating knots with large boundary slope diameter},
  author = {Masaharu Ishikawa and Thomas W. Mattman and Kazuya Namiki and Koya Shimokawa},
  journal= {arXiv preprint arXiv:1911.08562},
  year   = {2019}
}