English

On the classification of a large set of rational 3-tangle diagrams

Geometric Topology 2015-02-20 v1

Abstract

We note that a rational 33-tangle diagram is obtained from a combination of four generators. There is an algorithm to distinguish two rational 33-tangle diagrams up to isotopy. However, there is no perfect classification about rational 33-tangle diagrams such as the classification of rational 22-tangle diagrams corresponding to rational numbers. In this paper, we classify a large set of rational 33-tangles which are generated by only three generators.

Keywords

Cite

@article{arxiv.1502.05669,
  title  = {On the classification of a large set of rational 3-tangle diagrams},
  author = {Bo-hyun Kwon},
  journal= {arXiv preprint arXiv:1502.05669},
  year   = {2015}
}