Skein exact triangles in knot Floer homology
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912580487872512 |
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| author | Eftekhary, Eaman |
| author_facet | Eftekhary, Eaman |
| contents | We construct a new family of skein exact triangles for link Floer homology. The skein triples are described by a triple of rational tangles $(R_0,R_1,R_{2n+1})$, where $R_0$ is the trivial tangle and $R_k$ is obtained from it by applying $k$ positive half-twists. We also set up an appropriate framework for potential construction of further skein exact triangles corresponding to arbitrary triples of rational tangles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08317 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skein exact triangles in knot Floer homology Eftekhary, Eaman Geometric Topology Symplectic Geometry We construct a new family of skein exact triangles for link Floer homology. The skein triples are described by a triple of rational tangles $(R_0,R_1,R_{2n+1})$, where $R_0$ is the trivial tangle and $R_k$ is obtained from it by applying $k$ positive half-twists. We also set up an appropriate framework for potential construction of further skein exact triangles corresponding to arbitrary triples of rational tangles. |
| title | Skein exact triangles in knot Floer homology |
| topic | Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2509.08317 |