English

Signed Heights of Knotoids

Geometric Topology 2020-11-17 v1

Abstract

The height of a knotoid is a measure of how far it is from being a knot. Here we define the positive and negative parts of the height, and we prove that they determine the unsigned height. Some polynomial invariants provide lower bounds for the signed heights. We also study a set of sequences associated to a knotoid.

Keywords

Cite

@article{arxiv.2011.07675,
  title  = {Signed Heights of Knotoids},
  author = {Larsen Linov},
  journal= {arXiv preprint arXiv:2011.07675},
  year   = {2020}
}

Comments

22 pages, 18 figures

R2 v1 2026-06-23T20:15:21.848Z