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A Survey of Quandle Theory
by
Alissa S Crans
Loyola Marymount University
A quandle is a set equipped with two binary operation satisfying axioms that capture the essential properties of the operations of conjugation in a group and algebraically encode the three Reidemeister moves from classical knot theory. This notion dates back to the early 1980's when Joyce and Matveev independently introduced the notion of a quandle and associated it to the complement of a knot. We will focus on an introduction to the theory of quandles by considering examples, discussing quandle (co)homology and applications, and introducing recent work in this area.
Date received: November 24, 2011
Copyright © 2011 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 # cbdt-27.