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

Autor:	Bondarenko, Ekaterina, Ceniceros, Jose, Elhamdadi, Mohamed, Jones, Brooke
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology Mathematics - Quantum Algebra Mathematics - Rings and Algebras 57K12
Druh dokumentu:	Working Paper
Popis:	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. Comment: arXiv admin note: text overlap with arXiv:2207.10249
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.07695 Zobrazit plný text záznamu View this record from Arxiv