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arXiv · 1807.00957

The Slope Conjecture for Montesinos knots

Stavros Garoufalidis·Christine Ruey Shan Lee·Roland van der Veen
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Abstract

The Slope Conjecture relates the degree of the colored Jones polynomial of a knot to boundary slopes of incompressible surfaces. Our aim is to prove the Slope Conjecture for Montesinos knots, and to match parameters of a state-formula for the colored Jones polynomial of such knots with the parameters that describe their corresponding incompressible surfaces via the Hatcher-Oertel algorithm.

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Stavros Garoufalidis, Christine Ruey Shan Lee, Roland van der Veen. 2018-07-03. The Slope Conjecture for Montesinos knots. https://arxiv.org/abs/1807.00957

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