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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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A Construction on Tangles Extending the A-Polynomial
by
John Armstrong
Tulane University

The A-polynomial (Cooper-Culler-Gillet-Long-Shalen) is an interesting invariant of knots defined by considering representations of the knot complement and how they restrict to the complement's boundary. We give a construction which generalizes this procedure and extends it to tangles. It is our hope that this will lead to an algorithm for calculating the A-polynomial of any knot.

Date received: January 12, 2009

Copyright © 2009 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-63.