Extending Knot Polynomials of Braided Hopf Algebras to Links
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913142473228288 |
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| author | Garoufalidis, Stavros Harper, Matthew Kohli, Ben-Michael Song, Jiebo Tahar, Guillaume |
| author_facet | Garoufalidis, Stavros Harper, Matthew Kohli, Ben-Michael Song, Jiebo Tahar, Guillaume |
| contents | Recently, a plethora of multivariable knot polynomials were introduced by Kashaev and one of the authors, by applying the Reshetikhin-Turaev functor to rigid $R$-matrices that come from braided Hopf algebras with automorphisms. We study the extension of these knot invariants to links, and use this to identify some of them with known link invariants, as conjectured in that same recent work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extending Knot Polynomials of Braided Hopf Algebras to Links Garoufalidis, Stavros Harper, Matthew Kohli, Ben-Michael Song, Jiebo Tahar, Guillaume Quantum Algebra High Energy Physics - Theory Geometric Topology Recently, a plethora of multivariable knot polynomials were introduced by Kashaev and one of the authors, by applying the Reshetikhin-Turaev functor to rigid $R$-matrices that come from braided Hopf algebras with automorphisms. We study the extension of these knot invariants to links, and use this to identify some of them with known link invariants, as conjectured in that same recent work. |
| title | Extending Knot Polynomials of Braided Hopf Algebras to Links |
| topic | Quantum Algebra High Energy Physics - Theory Geometric Topology |
| url | https://arxiv.org/abs/2505.01398 |