Topology Atlas | Conferences

Knots in Washington XLI
December 4-6, 2015
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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The cable Γ-polynomial of a knot
by
Hideo Takioka
Osaka City University Advanced Mathematical Institute

The Γ-polynomial is the common zeroth coefficient polynomial of the HOMFLYPT and Kauffman polynomials. We consider the cable version of the Γ-polynomial. In this talk, we give sharper lower bounds of the braid indices of Kanenobu knots by applying the 2-cable Γ-polynomial. Moreover, we show that the 3-cable Γ-polynomial is invariant under mutation.

Date received: November 15, 2015

Copyright © 2015 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 # cblw-25.