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Knots in Washington XXVII; 3rd Japan-USA Workshop in Knot Theory
January 9-11, 2009
George Washington University
Washington, DC, USA

Organizers
Yoshiyuki Ohyama (TWCU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Tatsuya Tsukamoto (Osaka IT), Hao Wu (GWU), Akira Yasuhara (Tokyo GU)

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The Quantum Hyperbolic Invariants of the Figure Eight Knot
by
Heather Molle
The University of Iowa

Baseilhac and Benedetti have created a quantum hyperbolic invariant for knots. They conjecture that, like the colored Jones polynomial, their invariant is related to the volume of the complement of the knot. I will show that, in the case of the figure eight knot, this is true for certain values of charges and flattenings.

Date received: November 12, 2008

Copyright © 2008 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 # caxq-20.