Generalized Quandle Polynomials and Their Applications to Stuquandles, Stuck Links, and RNA Folding

Ekaterina Bondarenko; Jose Ceniceros; Mohamed Elhamdadi; Brooke Jones

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arXiv · 2408.07695

Generalized Quandle Polynomials and Their Applications to Stuquandles, Stuck Links, and RNA Folding

Ekaterina Bondarenko·Jose Ceniceros·Mohamed Elhamdadi·Brooke Jones

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Abstract

We introduce a generalization of the quandle polynomial. We prove that our polynomial is an invariant of stuquandles. Furthermore, we use the invariant of stuquandles to define a polynomial invariant of stuck links. As a byproduct, we obtain a polynomial invariant of RNA foldings. Lastly, we provide explicit computations of our polynomial invariant for both stuck links and RNA foldings.

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Ekaterina Bondarenko, Jose Ceniceros, Mohamed Elhamdadi, Brooke Jones. 2024-08-14. Generalized Quandle Polynomials and Their Applications to Stuquandles, Stuck Links, and RNA Folding. https://arxiv.org/abs/2408.07695

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