Genera of two-component alternating links
Geometric Topology
2026-02-06 v1
Abstract
We extend the equality-type results of Ito--Takimura and Kindred for the non-orientable genera of alternating knots to the setting of two-component alternating links. We show that, for such links, a unified quantity capturing both orientable and non-orientable genera is completely determined by the splice sequence realizing the splice-unknotting number up to an explicit correction term.
Cite
@article{arxiv.2602.05673,
title = {Genera of two-component alternating links},
author = {Noboru Ito and Nodoka Kawajiri},
journal= {arXiv preprint arXiv:2602.05673},
year = {2026}
}
Comments
20 pages, 12 figures