Computation of the knot Floer complex of knots of thickness one
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915682760785920 |
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| author | Sorya, Patricia |
| author_facet | Sorya, Patricia |
| contents | We develop and implement an algorithm that computes the full knot Floer complex of knots of thickness one. As an application, by extending this algorithm to certain knots of thickness two, we show that all but finitely many non-integral Dehn surgery slopes are characterizing for most knots with up to 17 crossings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13610 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Computation of the knot Floer complex of knots of thickness one Sorya, Patricia Geometric Topology We develop and implement an algorithm that computes the full knot Floer complex of knots of thickness one. As an application, by extending this algorithm to certain knots of thickness two, we show that all but finitely many non-integral Dehn surgery slopes are characterizing for most knots with up to 17 crossings. |
| title | Computation of the knot Floer complex of knots of thickness one |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2505.13610 |