Low Dimensional Homology of the Yang-Baxter Operators Yielding the HOMFLYPT Polynomial
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916635033468928 |
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| author | Christiana, Anthony Clingenpeel, Ben Guo, Huizheng Oh, Jinseok Przytycki, Jozef H. Wang, Xiao Yun, Hongdae |
| author_facet | Christiana, Anthony Clingenpeel, Ben Guo, Huizheng Oh, Jinseok Przytycki, Jozef H. Wang, Xiao Yun, Hongdae |
| contents | In this paper, we analyze the homology of the Yang-Baxter Operators $R_{(m)}$ yielding the HOMFLYPT polynomial, reducing the computation of the $n$-th homology of $R_{(m)}$ for arbitrary $m$ to the computation of $n+1$ initial conditions. We then produce the explicit formulas for the third and fourth homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20659 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Low Dimensional Homology of the Yang-Baxter Operators Yielding the HOMFLYPT Polynomial Christiana, Anthony Clingenpeel, Ben Guo, Huizheng Oh, Jinseok Przytycki, Jozef H. Wang, Xiao Yun, Hongdae Geometric Topology Rings and Algebras 57K10 (primary), 16T25 (secondary) In this paper, we analyze the homology of the Yang-Baxter Operators $R_{(m)}$ yielding the HOMFLYPT polynomial, reducing the computation of the $n$-th homology of $R_{(m)}$ for arbitrary $m$ to the computation of $n+1$ initial conditions. We then produce the explicit formulas for the third and fourth homology. |
| title | Low Dimensional Homology of the Yang-Baxter Operators Yielding the HOMFLYPT Polynomial |
| topic | Geometric Topology Rings and Algebras 57K10 (primary), 16T25 (secondary) |
| url | https://arxiv.org/abs/2502.20659 |