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Fox colorings for the number of Reidemeister moves and colored chirality
by
J. Scott Carter and Masahico Saito
U. South Alabama, U. South Florida
Coauthors: Mohamed Elhamdadi, Shin Satoh
In this talk, first, we illustrate how Fox colorings can be used to study the minimal number of Reidemeister type III moves. Functions motivated from quandle cohomology theory are used to give lower bounds for the type III moves. Second, we consider chirality of knots with Fox colorings that are also mirror images of the given colorings. We construct knots with colored chirality, and use quandle cocycle invariants as obstructions.
Date received: January 11, 2005
Copyright © 2005 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 # capo-03.