Structures in HOMFLY-PT homology
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866929209081856000 |
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| author | Chandler, Alex Gorsky, Eugene |
| author_facet | Chandler, Alex Gorsky, Eugene |
| contents | We study the structure of triply graded Khovanov-Rozansky homology using both the data recently computed by Nakagane and Sano for knots up to 11 crossings, and the $\mathfrak{sl}(2)$ action defined by the second author, Hogancamp and Mellit. In particular, we compute the HOMFLY-PT $S$-invariant for all knots in the dataset, and compare it to the $\mathfrak{sl}(N)$ concordance invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_13058 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Structures in HOMFLY-PT homology Chandler, Alex Gorsky, Eugene Geometric Topology We study the structure of triply graded Khovanov-Rozansky homology using both the data recently computed by Nakagane and Sano for knots up to 11 crossings, and the $\mathfrak{sl}(2)$ action defined by the second author, Hogancamp and Mellit. In particular, we compute the HOMFLY-PT $S$-invariant for all knots in the dataset, and compare it to the $\mathfrak{sl}(N)$ concordance invariants. |
| title | Structures in HOMFLY-PT homology |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2209.13058 |