La courbe en huit sur les sphères à pointes et le noeud de huit
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909310786732032 |
|---|---|
| author | Dehornoy, Pierre |
| author_facet | Dehornoy, Pierre |
| contents | We show that, in the unit tangent bundle of a hyperbolic orbisphere with cone points of order 3, 3, 4, the lift of the shortest periodic geodesic is homeomorphic to the complement of the figure-eight knot in the 3-sphere. The proof eventually relies on the computation of some linking numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06532 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | La courbe en huit sur les sphères à pointes et le noeud de huit Dehornoy, Pierre Geometric Topology We show that, in the unit tangent bundle of a hyperbolic orbisphere with cone points of order 3, 3, 4, the lift of the shortest periodic geodesic is homeomorphic to the complement of the figure-eight knot in the 3-sphere. The proof eventually relies on the computation of some linking numbers. |
| title | La courbe en huit sur les sphères à pointes et le noeud de huit |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2409.06532 |