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arxiv: 1710.07101 · v1 · pith:WPEOPDY6new · submitted 2017-10-19 · 🧮 math.GT

The Slope Conjecture for a Family of Montesinos Knots

classification 🧮 math.GT
keywords conjecturefracslopeknotsmontesinosboundarycoloreddegree
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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 $u\leq-1$, $r<-1<1<s,t$.

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