Ordering curves on surfaces
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918048134332416 |
|---|---|
| author | Parlier, Hugo Vo, Hanh Xu, Binbin |
| author_facet | Parlier, Hugo Vo, Hanh Xu, Binbin |
| contents | We study the order of lengths of closed geodesics on hyperbolic surfaces. Our first main result is that the order of lengths of curves determine a point in Teichmüller space. In an opposite direction, we identify classes of curves whose order never changes, independently of the choice of hyperbolic metric. We use this result to identify short curves with small intersections on pairs of pants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06481 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ordering curves on surfaces Parlier, Hugo Vo, Hanh Xu, Binbin Geometric Topology We study the order of lengths of closed geodesics on hyperbolic surfaces. Our first main result is that the order of lengths of curves determine a point in Teichmüller space. In an opposite direction, we identify classes of curves whose order never changes, independently of the choice of hyperbolic metric. We use this result to identify short curves with small intersections on pairs of pants. |
| title | Ordering curves on surfaces |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2506.06481 |