Smoothly slice knots with Alexander polynomial 1 and high unknotting number
Geometric Topology
2025-07-22 v1
Abstract
We prove the existence of a smoothly doubly slice, amphicheiral knot with Alexander polynomial 1 and unknotting number 5.
Cite
@article{arxiv.2507.15592,
title = {Smoothly slice knots with Alexander polynomial 1 and high unknotting number},
author = {Lukas Lewark},
journal= {arXiv preprint arXiv:2507.15592},
year = {2025}
}
Comments
7 pages, 1 figure, 3 tables. Comments welcome