logo_acta

Acta Mathematica Vietnamica

Remarks on Jones Slopes and Surfaces of Knots

icon-email Efstratia Kalfagianni

Abstract

We show that the strong slope conjecture implies that the degrees of the colored Jones knot polynomials detect the figure 8 knot. Furthermore, we propose a characterization of alternating knots in terms of the Jones period and the degree span of the colored Jones polynomial