Twist regions and coefficients stability of the colored Jones polynomial
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- by Mohamed Elhamdadi, Mustafa Hajij and Masahico Saito PDF
- Trans. Amer. Math. Soc. 370 (2018), 5155-5177 Request permission
Abstract:
We prove that the coefficients of the colored Jones polynomial of alternating links stabilize under increasing the number of twists in the twist regions of the link diagram. This gives us an infinite family of $q$-power series derived from the colored Jones polynomial parametrized by the color and the twist regions of the alternating link diagram.References
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Additional Information
- Mohamed Elhamdadi
- Affiliation: Department of Mathematics, University of South Florida, Tampa, Florida 33647
- MR Author ID: 643744
- Email: emohamed@mail.usf.edu
- Mustafa Hajij
- Affiliation: Department of Mathematics, University of South Florida, Tampa, Florida 33647
- Address at time of publication: Department of Computer Science and Engineering, University of South Florida, Tampa, Florida 33647
- MR Author ID: 1034245
- Email: mhajij@usf.edu
- Masahico Saito
- Affiliation: Department of Mathematics, University of South Florida, Tampa, Florida 33647
- MR Author ID: 196333
- Email: saito@usf.edu
- Received by editor(s): August 3, 2016
- Received by editor(s) in revised form: November 14, 2016
- Published electronically: February 8, 2018
- © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 370 (2018), 5155-5177
- MSC (2010): Primary 57M27
- DOI: https://doi.org/10.1090/tran/7128
- MathSciNet review: 3812106