Minimal cobordisms between thin and thick torus knots
Geometric Topology
2026-02-11 v2
Abstract
We determine the locally flat cobordism distance between torus knots with small and large braid index, up to high precision. Here small means 2, 3, 4, or 6. As an application, we derive a surprising fact about torus knots that appear as cross-sections of almost minimal cobordisms between two-stranded torus knots and the trivial knot.
Keywords
Cite
@article{arxiv.2405.13719,
title = {Minimal cobordisms between thin and thick torus knots},
author = {Sebastian Baader and Lukas Lewark and Filip Misev and Paula Truöl},
journal= {arXiv preprint arXiv:2405.13719},
year = {2026}
}
Comments
8 pages, 1 figure, comments welcome. v2: corresponds to version accepted for publication in Proc. Edinb. Math. Soc., II. Ser