Signature invariants related to the unknotting number
Geometric Topology
2020-03-18 v2
Abstract
New lower bounds on the unknotting number of a knot are constructed from the classical knot signature function. These bounds can be twice as strong as previously known signature bounds. They can also be stronger than known bounds arising from Heegaard Floer and Khovanov homology. Results include new bounds on the Gordian distance between knots and information about four-dimensional knot invariants. By considering a related non-balanced signature function, bounds on the unknotting number of slice knots are constructed; these are related to the property of double-sliceness.
Keywords
Cite
@article{arxiv.1710.10530,
title = {Signature invariants related to the unknotting number},
author = {Charles Livingston},
journal= {arXiv preprint arXiv:1710.10530},
year = {2020}
}
Comments
13 pages, 3 figures. Added results concern signature bounds on the unknotting number of slice knots