Efficient calculations of $S$-invariants for links
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916901373870080 |
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| author | Schuetz, Dirk |
| author_facet | Schuetz, Dirk |
| contents | We describe an algorithm that can effectively calculate the $s$-invariant of a link as defined by Beliakova and Wehrli. Our computations show that this cannot be done by merely calculating the $E_\infty$-page of the Bar-Natan--Lee--Turner spectral sequence. Our methods also work for $s$-invariants coming from sl(3)-link homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11373 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Efficient calculations of $S$-invariants for links Schuetz, Dirk Geometric Topology 57K18 (Primary) 57K10 (Secondary) We describe an algorithm that can effectively calculate the $s$-invariant of a link as defined by Beliakova and Wehrli. Our computations show that this cannot be done by merely calculating the $E_\infty$-page of the Bar-Natan--Lee--Turner spectral sequence. Our methods also work for $s$-invariants coming from sl(3)-link homology. |
| title | Efficient calculations of $S$-invariants for links |
| topic | Geometric Topology 57K18 (Primary) 57K10 (Secondary) |
| url | https://arxiv.org/abs/2508.11373 |