Floer homology, clasp-braids and detection results
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911881424273408 |
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| author | Binns, Fraser Dey, Subhankar |
| author_facet | Binns, Fraser Dey, Subhankar |
| contents | Martin showed that link Floer homology detects braid axes. In this paper we extend this result to give a topological characterisation of links which are almost braided from the point of view of link Floer homology. The result is inspired by work of Baldwin-Sivek and Li-Ye on nearly fibered knots. Applications include that Khovanov homology detects the Whitehead link and $L7n2$, as well as infinite families of detection results for link Floer homology and annular Khovanov homology. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_11224 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Floer homology, clasp-braids and detection results Binns, Fraser Dey, Subhankar Geometric Topology 57K18, 57R58, 57K10 Martin showed that link Floer homology detects braid axes. In this paper we extend this result to give a topological characterisation of links which are almost braided from the point of view of link Floer homology. The result is inspired by work of Baldwin-Sivek and Li-Ye on nearly fibered knots. Applications include that Khovanov homology detects the Whitehead link and $L7n2$, as well as infinite families of detection results for link Floer homology and annular Khovanov homology. |
| title | Floer homology, clasp-braids and detection results |
| topic | Geometric Topology 57K18, 57R58, 57K10 |
| url | https://arxiv.org/abs/2405.11224 |