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A polynomial invariant of finite quandles
by
Sam Nelson
Whittier College
Unlike groups, quandles have no single identity element; rather, the trivial action is distributed throughout the set. We will see how this distribution can be quantified for finite quandles as a two-variable polynomial which completely determines the quandle structure for quandles of order up to 4, and as an application we will see a new family of refinements of the quandle counting invariants.
Date received: March 22, 2007
Copyright © 2007 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 # cauq-02.