Generalized quandle polynomials

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 which further generalize the quandle counting invariant.

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

References in corpus (3)

• The 2-generalized knot group determines the knot
• Generalised knot groups distinguish the square and granny knots (with an appendix by David Savitt)
• An isomorphism theorem for Alexander biquandles

Cited by in corpus (5)

• Link invariants from finite racks
• Twisted virtual biracks and their twisted virtual link invariants
• Tribracket Polynomials
• G-Family Polynomials
• The column group and its link invariants