The slope conjecture for graph knots
Geometric Topology
2016-07-06 v3
Abstract
The slope conjecture proposed by Garoufalidis asserts that the Jones slopes given by the sequence of degrees of the colored Jones polynomials are boundary slopes. We verify the slope conjecture for graph knots, i.e. knots whose Gromov volume vanish.
Cite
@article{arxiv.1501.01105,
title = {The slope conjecture for graph knots},
author = {Kimihiko Motegi and Toshie Takata},
journal= {arXiv preprint arXiv:1501.01105},
year = {2016}
}
Comments
We found a gap in the proof of Lemma 3.1 in the last version (1501.01105v2). This lemma is replaced by Proposition 3.2 in [Kalfagianni and Tran; Knot cabling and the degree of the colored Jones polynomial (1501.01574v1)]. The title of the paper is also changed