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arxiv: 0809.5075 · v1 · pith:WC5K2H3Znew · submitted 2008-09-29 · 🧮 math.GT · math.QA

On rack polynomials

classification 🧮 math.GT math.QA
keywords polynomialsrackinvariantsclassifieddefinegeneralizedquandleaction
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We study rack polynomials and the link invariants they define. We show that constant action racks are classified by their generalized rack polynomials and show that $ns^at^a$-quandles are not classified by their generalized quandle polynomials. We use subrack polynomials to define enhanced rack counting invariants, generalizing the quandle polynomial invariants.

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