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Generalized Quandle Polynomials

Published:2010-08-09
Printed: Mar 2011
• Sam Nelson,
Department of Mathematical Sciences, Claremont McKenna College, Claremont, CA 91711, U.S.A.
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Abstract

We define a family of generalizations of the two-variable quandle polynomial. These polynomial invariants generalize in a natural way to eight-variable polynomial invariants of finite biquandles. We use these polynomials to define a family of link invariants that further generalize the quandle counting invariant.
 Keywords: finite quandles, finite biquandles, link invariants
 MSC Classifications: 57M27 - Invariants of knots and 3-manifolds 76D99 - None of the above, but in this section