A bound on the equivariant unknotting number
Geometric Topology
2026-01-16 v2
Abstract
We study how the equivariant signature of strongly invertible knots changes when one of the Boyle-Chen equivariant unknotting moves is applied. It follows form our results that the absolute value of the equivariant signature introduced by Alfieri-Boyle gives a lower bound to three times the equivariant unknotting number.
Cite
@article{arxiv.2512.17700,
title = {A bound on the equivariant unknotting number},
author = {Sarah Zampa},
journal= {arXiv preprint arXiv:2512.17700},
year = {2026}
}
Comments
19 pages, 10 figures, minor changes before journal submission