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arXiv · 1804.05224

The Slope Conjecture for 3-String Montesinos Knots

Xudong Leng·Zhiqing Yang·Ximin Liu
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Abstract

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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Xudong Leng, Zhiqing Yang, Ximin Liu. 2018-04-14. The Slope Conjecture for 3-String Montesinos Knots. https://arxiv.org/abs/1804.05224

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