English

Normal forms for rational 3-tangles

Geometric Topology 2023-03-15 v1

Abstract

In this paper, we define the \textit{normal form} of collections of disjoint three \textit{bridge arcs} for a given rational 33-tangle. We show that there is a sequence of \textit{normal jump moves} which leads one to the other for two normal forms of the same rational 3-tangle.

Keywords

Cite

@article{arxiv.2303.07482,
  title  = {Normal forms for rational 3-tangles},
  author = {Bo-hyun Kwon and Jung Hoon Lee},
  journal= {arXiv preprint arXiv:2303.07482},
  year   = {2023}
}

Comments

10 pages, 11 figures

R2 v1 2026-06-28T09:15:09.830Z