The Strong Slope Conjecture and torus knots
Geometric Topology
2020-01-30 v2 Quantum Algebra
Abstract
We observe that the strong slope conjecture implies that the degree of the colored Jones polynomial detects all torus knots. As an application we obtain that an adequate knot that has the same colored Jones polynomial degrees as a torus knot must be a -torus knot.
Keywords
Cite
@article{arxiv.1808.08284,
title = {The Strong Slope Conjecture and torus knots},
author = {Efstratia Kalfagianni},
journal= {arXiv preprint arXiv:1808.08284},
year = {2020}
}
Comments
Minor revisions, Journal of the Math. Soc. of Japan, to appear