Characterization of non-self OU sequences of two-component link diagrams
Geometric Topology
2026-05-05 v1
Abstract
A non-self OU sequence is a cyclic sequence of crossing information of non-self crossings that is obtained by traversing a knot component of an oriented link diagram. In this paper, we investigate what information can be derived from non-self OU sequences, and we completely characterize pairs of non-self OU sequences of diagrams of two-component links. We also characterize the pairs for specific prime links with crossing number up to five.
Keywords
Cite
@article{arxiv.2605.01279,
title = {Characterization of non-self OU sequences of two-component link diagrams},
author = {Naoki Sakata and Ayaka Shimizu and Koya Shimokawa},
journal= {arXiv preprint arXiv:2605.01279},
year = {2026}
}
Comments
21 pages, 15 figures