Neighbors of knots in the Gordian graph
Geometric Topology
2016-06-13 v2
Abstract
We show that every knot is one crossing change away from a knot of arbitrarily high bridge number and arbitrarily high bridge distance.
Keywords
Cite
@article{arxiv.1505.00201,
title = {Neighbors of knots in the Gordian graph},
author = {Ryan Blair and Marion Campisi and Jesse Johnson and Scott A. Taylor and Maggy Tomova},
journal= {arXiv preprint arXiv:1505.00201},
year = {2016}
}
Comments
Accepted by American Mathematical Monthly. New version incorporates referee comments