On geometric realizations of the extreme Khovanov homology of pretzel links
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917793409007616 |
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| author | Oh, Jinseok Siggers, Mark H. Yang, Seung Yeop Yun, Hongdae |
| author_facet | Oh, Jinseok Siggers, Mark H. Yang, Seung Yeop Yun, Hongdae |
| contents | González-Meneses, Manchón, and Silvero showed that the (hypothetical) extreme Khovanov homology of a link diagram is isomorphic to the reduced (co)homology of the independence simplicial complex of its Lando graph. Przytycki and Silvero conjectured that the extreme Khovanov homology of any link diagram is torsion-free. In this paper, we investigate explicit geometric realizations of the real-extreme Khovanov homology of pretzel links. This gives further support for the conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06487 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On geometric realizations of the extreme Khovanov homology of pretzel links Oh, Jinseok Siggers, Mark H. Yang, Seung Yeop Yun, Hongdae Geometric Topology Primary: 57K10, 57K18. Secondary: 57M15 González-Meneses, Manchón, and Silvero showed that the (hypothetical) extreme Khovanov homology of a link diagram is isomorphic to the reduced (co)homology of the independence simplicial complex of its Lando graph. Przytycki and Silvero conjectured that the extreme Khovanov homology of any link diagram is torsion-free. In this paper, we investigate explicit geometric realizations of the real-extreme Khovanov homology of pretzel links. This gives further support for the conjecture. |
| title | On geometric realizations of the extreme Khovanov homology of pretzel links |
| topic | Geometric Topology Primary: 57K10, 57K18. Secondary: 57M15 |
| url | https://arxiv.org/abs/2401.06487 |