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  The slope conjecture for Montesinos knots

Garoufalidis, S., Lee, C. R. S., & van der Veen, R. (2020). The slope conjecture for Montesinos knots. International Journal of Mathematics, 31(7): 2050056. doi:10.1142/S0129167X20500561.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-B310-D Version Permalink: https://hdl.handle.net/21.11116/0000-0006-E724-D
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 Creators:
Garoufalidis, Stavros, Author
Lee, Christine Ruey Shan1, Author           
van der Veen, Roland, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Geometric Topology
 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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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 66
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1807.00957
URI: http://arxiv.org/abs/1807.00957
DOI: 10.1142/S0129167X20500561
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Title: International Journal of Mathematics
  Abbreviation : Internat. J. Math.
Source Genre: Journal
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Publ. Info: World Scientific
Pages: - Volume / Issue: 31 (7) Sequence Number: 2050056 Start / End Page: - Identifier: -