Topology Atlas | Conferences

Knots in Washington XXXIV; Categorification of Knots, Quantum Invariants and Quantum Computing
March 14-16, 2012
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU),Mark Kidwell (U.S. Naval Academy and GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Twisted Alexander polynomials of 2-bridge knots
by
Jim Hoste
Pitzer College
Coauthors: Patrick D Shanahan

We develop a method to compute the twisted Alexander polynomial associated to dihedral representations of 2-bridge

knots. For several in nite classes of 2-bridge knots we use this method to verify a conjecture of Hirisawa and Murasugi

on the form of the resulting polynomial.

Date received: March 13, 2012

Copyright © 2012 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 # cbek-23.