The Lee Spectral Sequence, Unknotting Number, and the Knight Move Conjecture
Geometric Topology
2017-10-24 v1
Abstract
We show that the page at which the Lee spectral sequence collapses gives a bound on the unknotting number, u(K). In particular, for knots with u(K)<3, we show that the Lee spectral sequence must collapse at the E_2 page. An immediate corollary is that the Knight Move Conjecture is true when u(K)<3.
Keywords
Cite
@article{arxiv.1710.07875,
title = {The Lee Spectral Sequence, Unknotting Number, and the Knight Move Conjecture},
author = {Akram Alishahi and Nathan Dowlin},
journal= {arXiv preprint arXiv:1710.07875},
year = {2017}
}
Comments
10 pages