Generalized quandle polynomials

Mathematics – Quantum Algebra

Scientific paper

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11 pages. Version 3 includes a correction to the square/granny knot example. To appear in Can. Bull. Math

Scientific paper

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 which further generalize the quandle counting
invariant.

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