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The Slope Conjecture for a Family of Montesinos Knots

2017/10/19 by Xudong Leng, Leng, Xudong, Zhiqing Yang +3
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1710.07101

openalex publication_date 2017/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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((1)/(r),(1)/(s-(1)/(u)),(1)/(t) ) with r,u,t odd, s even and u≤-1, r

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