Generalized Quandle Polynomials and Their Applications to Stuquandles, Stuck Links, and RNA Folding
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929459296206848 |
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| author | Bondarenko, Ekaterina Ceniceros, Jose Elhamdadi, Mohamed Jones, Brooke |
| author_facet | Bondarenko, Ekaterina Ceniceros, Jose Elhamdadi, Mohamed Jones, Brooke |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07695 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Quandle Polynomials and Their Applications to Stuquandles, Stuck Links, and RNA Folding Bondarenko, Ekaterina Ceniceros, Jose Elhamdadi, Mohamed Jones, Brooke Geometric Topology Quantum Algebra Rings and Algebras 57K12 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. |
| title | Generalized Quandle Polynomials and Their Applications to Stuquandles, Stuck Links, and RNA Folding |
| topic | Geometric Topology Quantum Algebra Rings and Algebras 57K12 |
| url | https://arxiv.org/abs/2408.07695 |