Cable knots are not thin
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866911145791586304 |
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| author | Dey, Subhankar |
| author_facet | Dey, Subhankar |
| contents | Using the Bordered Floer theory of Lipshitz-Ozsváth-Thurston we prove that the $(p,q)$-cables of any non-trivial knots are not Heegaard Floer homologically thin. Using the proof and a theorem of Zemke, we find a larger set of satellite knots which is a proper superset of the set of all cable knots, having the same property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_11591 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Cable knots are not thin Dey, Subhankar Geometric Topology 57M25, 57M27, 57R58 Using the Bordered Floer theory of Lipshitz-Ozsváth-Thurston we prove that the $(p,q)$-cables of any non-trivial knots are not Heegaard Floer homologically thin. Using the proof and a theorem of Zemke, we find a larger set of satellite knots which is a proper superset of the set of all cable knots, having the same property. |
| title | Cable knots are not thin |
| topic | Geometric Topology 57M25, 57M27, 57R58 |
| url | https://arxiv.org/abs/1904.11591 |