The Slope Conjecture for a Family of Montesinos Knots

Abstract

The Slope Conjecture relates the degree of the colored Jones polynomial to the boundary slopes of a knot. We verify the Slope Conjecture and the Strong Slope Conjecture for Montesinos knots $M(\frac{1}{r},\frac{1}{s-\frac{1}{u}},\frac{1}{t})$ with $r,u,t$ odd, $s$ even and $u\le -1$, $r<-1<1<s,t$.

References in corpus (1)

• Slopes for Pretzel Knots