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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 finite quandles, finite biquandles, link invariants
MSC Classifications: 57M27, 76D99 show english descriptions Invariants of knots and 3-manifolds
None of the above, but in this section
57M27 - Invariants of knots and 3-manifolds
76D99 - None of the above, but in this section
 

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