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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