Tribracket Polynomials

Sam Nelson; Fletcher Nickerson

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arXiv · 2103.02704

Tribracket Polynomials

Sam Nelson·Fletcher Nickerson

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Abstract

We introduce a six-variable polynomial invariant of Niebrzydowski tribrackets analogous to quandle,rack and biquandle polynomials. Using the subtribrackets of a tribracket, we additionally define subtribracket polynomials and establish a sufficient condition for isomorphic subtribrackets to have the same polynomial regardless of their embedding in the ambient tribracket. As an application, we enhance the tribracket counting invariant of knots and links using subtribracket polynomials and provide examples to demonstrate that this enhancement is proper.

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Sam Nelson, Fletcher Nickerson. 2021-03-03. Tribracket Polynomials. https://arxiv.org/abs/2103.02704

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