A remarkable 20-crossing tangle
Geometric Topology
2021-08-19 v2
Abstract
For any positive integer r, we exhibit a knot Kr with (20 2 r--1 + 1) crossings whose Jones polynomial V (Kr) is equal to 1 mod-ulo 2 r. Our construction rests on a certain 20-crossing tangle T 20 which is undetectable by the Kauffman bracket polynomial pair mod 2.
Cite
@article{arxiv.1610.05560,
title = {A remarkable 20-crossing tangle},
author = {Shalom Eliahou and Jean Fromentin},
journal= {arXiv preprint arXiv:1610.05560},
year = {2021}
}