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| Título: | The Teichmüller space of the Hirsch foliation |
| Autor: | Álvarez, Sebastien Lessa Echeverriarza, Pablo |
| Tipo: | Artículo |
| Palabras clave: | Teichmüller theory, Riemann surface foliations |
| Fecha de publicación: | 2018 |
| Resumen: | 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. |
| Editorial: | Association des Annales de l'Institut Fourier |
| EN: | Annales de l'Institut Fourier, 2018, 68 (1), 1-51 |
| Citación: | 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 |
| ISSN: | 0373-0956 |
| Aparece en las colecciones: | Publicaciones académicas y científicas - Facultad de Ciencias |
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| Fichero | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 105802aif3150.pdf | 824,55 kB | Adobe PDF | Visualizar/Abrir |
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