Guts of nearly fibered knots
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866910191027486720 |
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| author | Li, Zhenkun Ye, Fan |
| author_facet | Li, Zhenkun Ye, Fan |
| contents | The guts of a knot is an invariant defined for the knot complement by Agol-Zhang. Nearly fibered knots, which are defined as knots whose Floer homology has dimension two in the top Alexander grading, were introduced by Baldwin-Sivek. In this note, we provide three models for the guts of nearly fibered knots in the $3$-sphere. As a corollary, the nearly fibered condition can be purely topologically characterized and is independent of the specific version of Floer theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_05382 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Guts of nearly fibered knots Li, Zhenkun Ye, Fan Geometric Topology The guts of a knot is an invariant defined for the knot complement by Agol-Zhang. Nearly fibered knots, which are defined as knots whose Floer homology has dimension two in the top Alexander grading, were introduced by Baldwin-Sivek. In this note, we provide three models for the guts of nearly fibered knots in the $3$-sphere. As a corollary, the nearly fibered condition can be purely topologically characterized and is independent of the specific version of Floer theory. |
| title | Guts of nearly fibered knots |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2208.05382 |