The slope conjecture for Montesinos knots-Reference-Cited by-同舟云学术

The slope conjecture for Montesinos knots

Published:2020-06-23 Issue:07 Volume:31 Page:2050056
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Garoufalidis Stavros¹,Lee Christine Ruey Shan²^ORCID,van der Veen Roland³

Affiliation:

1. International Center for Mathematics, Department of Mathematics, Southern University of Science and Technology Shenzhen, P. R. China

2. University of South Alabama, 411 University Boulevard North, Mobile, AL 36608, USA

3. University of Groningen, Bernoulli Institute, P. O. Box 407, 9700 AK Groningen, The Netherlands

Abstract

The slope conjecture relates the degree of the colored Jones polynomial of a knot to boundary slopes of essential surfaces. We develop a general approach that matches a state-sum formula for the colored Jones polynomial with the parameters that describe surfaces in the complement. We apply this to Montesinos knots proving the slope conjecture for Montesinos knots, with some restrictions.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X20500561

Reference36 articles.

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