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arxiv: 1804.05224 · v1 · pith:KMJUJ4IRnew · submitted 2018-04-14 · 🧮 math.GT

The Slope Conjecture for 3-String Montesinos Knots

classification 🧮 math.GT
keywords conjectureslopecertainknotknotsmontesinosstringstrong
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The (Strong) Slope Conjecture relates the degree of the colored Jones polynomial of a knot to certain essential surfaces in the knot complement. We verify the Slope Conjecture and the Strong Slope Conjecture for 3-string Montesinos knots satisfying certain conditions.

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