A slope conjecture for links

Abstract

The slope conjecture gives a precise relation between the degree of the colored Jones polynomial of a knot and the boundary slopes of essential surfaces in the knot complement. In this note we propose a generalization of the slope conjecture to links. We prove the conjecture for all alternating and more generally adequate links. We also verify the conjecture for torus links.

References in corpus (4)

• On the characteristic and deformation varieties of a knot
• Slopes and colored Jones polynomials of adequate knots
• A cabling formula for the colored Jones polynomial
• The degree of the colored HOMFLY polynomial

Cited by in corpus (1)

• The degree of the colored HOMFLY polynomial