Null-homologous unknottings
Geometric Topology
2021-07-20 v2
Abstract
Every knot can be unknotted with two generalized twists; this was first proved by Ohyama. Here we prove that any knot of genus g can be unknotted with 2g null-homologous twists and that there exist genus g knots that cannot be unknotted with fewer than 2g null-homologous twists.
Keywords
Cite
@article{arxiv.1902.05405,
title = {Null-homologous unknottings},
author = {Charles Livingston},
journal= {arXiv preprint arXiv:1902.05405},
year = {2021}
}
Comments
Version 2 includes added references