Fibered ribbon pretzels
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912744417001472 |
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| author | Lecuona, Ana G. Wand, Andy |
| author_facet | Lecuona, Ana G. Wand, Andy |
| contents | We classify fibered ribbon pretzel knots up to mutation. The classification is complete, except perhaps for members of Lecuona's ``exceptional'' family of [Lec15]. The result is obtained by combining lattice embedding techniques with Gabai's classification of fibered pretzel knots, and exhibiting ribbon disks, some of which lie outside of known patterns for standard pretzel projections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03644 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fibered ribbon pretzels Lecuona, Ana G. Wand, Andy Geometric Topology Algebraic Topology 57M25 We classify fibered ribbon pretzel knots up to mutation. The classification is complete, except perhaps for members of Lecuona's ``exceptional'' family of [Lec15]. The result is obtained by combining lattice embedding techniques with Gabai's classification of fibered pretzel knots, and exhibiting ribbon disks, some of which lie outside of known patterns for standard pretzel projections. |
| title | Fibered ribbon pretzels |
| topic | Geometric Topology Algebraic Topology 57M25 |
| url | https://arxiv.org/abs/2408.03644 |