Topology Atlas | Conferences

Knots in Washington XLIII; 60th birthday of J. Scott Carter
December 9-11, 2016
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Twist Regions and Coefficients Stability of the Colored Jones Polynomial
by
Mustafa Hajij
University of South Florida
Coauthors: Mohamed Elhamdadi, Masahico Saito

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.

Date received: November 8, 2016

Copyright © 2016 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbnq-18.