Does the Jones polynomial detect the unknot?
Geometric Topology
2007-05-23 v1
Abstract
We address the question: Does there exist a non-trivial knot with a trivial Jones polynomial? To find such a knot, it is almost certainly sufficient to find a non-trivial braid on four strands in the kernel of the Burau representation. I will describe a computer algorithm to search for such a braid.
Keywords
Cite
@article{arxiv.math/0012086,
title = {Does the Jones polynomial detect the unknot?},
author = {Stephen J. Bigelow},
journal= {arXiv preprint arXiv:math/0012086},
year = {2007}
}
Comments
12 pages, 3 figures