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Colored Jones
polynomials without tails
Christine Ruey Shan Lee and Roland van der Veen |
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Algebraic & Geometric Topology 22 (2022) 2857–2865
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DOI: 10.2140/agt.2022.22.2857
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Abstract |
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We exhibit an infinite family of knots with the property that the first coefficient of the –colored Jones polynomial grows linearly with . This shows that the concept of stability and tail seen in the colored Jones polynomials of alternating knots does not generalize naively. |
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Keywords
knot theory, Jones polynomial, tail, Manx, stabilization
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Mathematical Subject Classification
Primary: 57K10
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References |
Publication
Received: 9 December 2020
Revised: 28 April 2021
Accepted: 23 May 2021
Published: 13 December 2022
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Authors |
| Christine Ruey Shan Lee | |
| Department of Mathematics Texas State University San Marcos, TX United States |
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| Roland van der Veen | |
| Department of Mathematics Bernoulli Institute University of Groningen Groningen Netherlands |
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