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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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Palindrome presentations of rational knots
by
Dušan Repovš
University of Ljubljana, Slovenia

We give special presentations of the groups of rational knots whose relators are palindromes. This means that the relators read the same forwards and backwards as words in the generators. Using such presentations, we obtain simple alternative proofs of some classical results concerning the Alexander polynomial and the character variety of rational knots. This is joint work with A. Cavicchioli and F. Spaggiari (to appear in J. Knot Theory).

Date received: October 10, 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-04.