Remarks on Jones slopes and surfaces of knots
Geometric Topology
2020-10-15 v2 Quantum Algebra
Abstract
We point out that the strong slope conjecture implies that the degrees of the colored Jones knot polynomials detect the figure eight knot. Furthermore, we propose a characterization of alternating knots in terms of the Jones period and the degree span of the colored Jones polynomial.
Keywords
Cite
@article{arxiv.2002.12367,
title = {Remarks on Jones slopes and surfaces of knots},
author = {Efstratia Kalfagianni},
journal= {arXiv preprint arXiv:2002.12367},
year = {2020}
}
Comments
Minor edits. Accepted in Acta Math. Vietnamica (Proc. of the conference "Quantum Topology and Hyperbolic Geometry", Da Nang, Vietnam, May 27-31, 2019)