English

Jones polynomials of long virtual knots

Geometric Topology 2020-12-29 v1

Abstract

This paper defines versions of the Jones polynomial and Khovanov homology by using several maps from the set of Gauss diagrams to its variant. Through calculation of some examples, this paper also shows that these versions behave differently from the original ones.

Keywords

Cite

@article{arxiv.2012.14060,
  title  = {Jones polynomials of long virtual knots},
  author = {Noboru Ito},
  journal= {arXiv preprint arXiv:2012.14060},
  year   = {2020}
}

Comments

16 pages, 15 figures

R2 v1 2026-06-23T21:28:14.926Z