| dc.contributor | Álvarez Sebastien, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática | |
| dc.contributor | Lessa Echeverriarza Pablo, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática | |
| dc.creator | Álvarez, Sebastien | |
| dc.creator | Lessa Echeverriarza, Pablo | |
| dc.date.accessioned | 2019-11-27T17:46:57Z | |
| dc.date.accessioned | 2022-10-28T19:57:01Z | |
| dc.date.available | 2019-11-27T17:46:57Z | |
| dc.date.available | 2022-10-28T19:57:01Z | |
| dc.date.created | 2019-11-27T17:46:57Z | |
| dc.date.issued | 2018 | |
| dc.identifier | Álvarez, S., Lessa, P. "The Teichmüller space of the Hirsch foliation". Annales de l'Institut Fourier [en línea]. 2018, 68 (1), 1-51. doi: 10.5802/aif.3150 | |
| dc.identifier | 0373-0956 | |
| dc.identifier | https://hdl.handle.net/20.500.12008/22560 | |
| dc.identifier | 10.5802/aif.3150 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4976731 | |
| dc.description.abstract | We prove that the Teichmüller space of the Hirsch foliation (a minimal foliation of a closed 3-manifold by non-compact hyperbolic surfaces) is homeomorphic to the space of closed curves in the plane. This allows us to show that the space of hyperbolic metrics on the foliation is a trivial principal fiber bundle. And that the structure group of this bundle, the arc-connected component of the identity in the group of homeomorphisms which are smooth on each leaf and vary continuously in the smooth topology in the transverse direction of the
foliation, is contractible. | |
| dc.language | en | |
| dc.publisher | Association des Annales de l'Institut Fourier | |
| dc.relation | Annales de l'Institut Fourier, 2018, 68 (1), 1-51 | |
| dc.rights | Licencia Creative Commons Atribución - Sin Derivadas (CC - By-ND 4.0) | |
| dc.rights | Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014) | |
| dc.subject | Teichmüller theory | |
| dc.subject | Riemann surface foliations | |
| dc.title | The Teichmüller space of the Hirsch foliation | |
| dc.type | Artículo | |
