Knots of low knot Floer width
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914796431998976 |
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| author | Popović, David |
| author_facet | Popović, David |
| contents | This paper classifies the chain homotopy equivalence types of knot Floer complexes $CFK_{\mathbb{F}[U,V]}(K)$ of knot Floer width 2. They have no nontrivial local systems. As an application, this shows that all Montesinos knots admit a basis that can be simultaneously horizontally and vertically simplified. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08993 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Knots of low knot Floer width Popović, David Geometric Topology 57M25, 57M27, 18G35 This paper classifies the chain homotopy equivalence types of knot Floer complexes $CFK_{\mathbb{F}[U,V]}(K)$ of knot Floer width 2. They have no nontrivial local systems. As an application, this shows that all Montesinos knots admit a basis that can be simultaneously horizontally and vertically simplified. |
| title | Knots of low knot Floer width |
| topic | Geometric Topology 57M25, 57M27, 18G35 |
| url | https://arxiv.org/abs/2405.08993 |