The Slope Conjecture for Montesinos knots

2018/07/03 by Garoufalidis, Stavros, Lee, Christine Ruey Shan, van der Veen, Roland
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1807.00957

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.

Related

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• The Slope Conjecture for 3-String Montesinos Knots
• Slopes for Pretzel Knots
• Normal and Jones surfaces of knots
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