English

Biquandle longitude invariant of long virtual knots

Geometric Topology 2019-10-29 v1

Abstract

It is known that the number of biquandle colorings of a long virtual knot diagram, with a fixed color of the initial arc, is a knot invariant. In this paper we describe a more subtle invariant: a family of biquandle endomorphisms obtained from the set of colorings and longitudinal information.

Keywords

Cite

@article{arxiv.0709.2465,
  title  = {Biquandle longitude invariant of long virtual knots},
  author = {Maciej Niebrzydowski},
  journal= {arXiv preprint arXiv:0709.2465},
  year   = {2019}
}

Comments

9 pages

R2 v1 2026-06-21T09:17:58.069Z