The knot meridians of (1,1)-knot complements are CTF-detected
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866912533725577216 |
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| author | Lyu, Qingfeng |
| author_facet | Lyu, Qingfeng |
| contents | For any non-simple (1,1)-knot in $S^3$ or a lens space, we construct a co-oriented taut foliation in its complement that intersects the boundary torus transversely in a suspension foliation of the knot meridian, or the infinity slope. This provides new evidence for a conjecture made by Boyer, Gordon and Hu using slope detections, related to the L-space conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20013 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The knot meridians of (1,1)-knot complements are CTF-detected Lyu, Qingfeng Geometric Topology 57K30, 57R30, 57K10 For any non-simple (1,1)-knot in $S^3$ or a lens space, we construct a co-oriented taut foliation in its complement that intersects the boundary torus transversely in a suspension foliation of the knot meridian, or the infinity slope. This provides new evidence for a conjecture made by Boyer, Gordon and Hu using slope detections, related to the L-space conjecture. |
| title | The knot meridians of (1,1)-knot complements are CTF-detected |
| topic | Geometric Topology 57K30, 57R30, 57K10 |
| url | https://arxiv.org/abs/2410.20013 |