Unknotting with a single twist
Geometric Topology
2021-07-20 v1
Abstract
Given a knot in the three-sphere, is it possible to unknot it by performing a single twist, and if so, what are the possible linking numbers of such a twist? We develop obstructions to unknotting using a twist of a specified linking number. The obstructions we describe are built using classical knot invariants, Casson-Gordon invariants, and Heegaard Floer theory.
Keywords
Cite
@article{arxiv.2005.10717,
title = {Unknotting with a single twist},
author = {Samantha Allen and Charles Livingston},
journal= {arXiv preprint arXiv:2005.10717},
year = {2021}
}
Comments
26 pages, 4 figures