Colored Jones polynomials without tails
Geometric Topology
2022-12-21 v2 Quantum Algebra
Abstract
We exhibit an infinite family of knots with the property that the first coefficient of the n-colored Jones polynomial grows linearly with n. This shows that the concept of stability and tail seen in the colored Jones polynomials of alternating knots does not generalize naively.
Keywords
Cite
@article{arxiv.1806.04565,
title = {Colored Jones polynomials without tails},
author = {Christine Ruey Shan Lee and Roland van der Veen},
journal= {arXiv preprint arXiv:1806.04565},
year = {2022}
}
Comments
5 pages, 1 cat