The Strong Slope Conjecture and torus knots

Efstratia Kalfagianni

Published 2018-08-24Version 1

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 $(2,q)$-torus knot.