English

A systematic classification of knotoids on the plane and on the sphere

Geometric Topology 2019-02-22 v2

Abstract

In this paper we generate and systematically classify all prime planar knotoids with up to 5 crossings. We also extend the existing list of knotoids in S2S^2 and add all knotoids with 6 crossings.

Keywords

Cite

@article{arxiv.1902.07277,
  title  = {A systematic classification of knotoids on the plane and on the sphere},
  author = {Dimos Goundaroulis and Julien Dorier and Andrzej Stasiak},
  journal= {arXiv preprint arXiv:1902.07277},
  year   = {2019}
}

Comments

105 pages, 16 figures and 2 Appendices. The updated version corrects typos in Tables 6 and 7 and adds one missing reference