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Port City Topology Conference
February 26-27, 2005
University of South Alabama
Mobile, AL, USA

Organizers
Scott Carter (USA), Abhijit Champanerkar (USA)

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Set-Theoretic Yang-Baxter Solutions via Fox Calculus
by
Masahico Saito
University of South Florida
Coauthors: J. Scott Carter

This is a joint work with Scott Carter. We construct solutions to the set-theoretic Yang-Baxter equation using braid group representations in automorphism groups and their Fox differentials. The method resembles the extensions of groups and quandles. The solutions are useful in obtaining examples of biracks.

Date received: February 14, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqc-03.