Earthquakes and graftings of hyperbolic surface laminations
- Autor(es):
- Álvarez, Sebastien ; Smith, Graham
- Tipo:
- Preprint
- Versión:
- Enviado
- Financiadores:
- ANII: FCE_3_2018_1_148740
- Resumen:
-
We study compact hyperbolic surface laminations. These are a generalization of closed hyperbolic surfaces which appear to be more suited to the study of Teichmüller theory than arbitrary non-compact surfaces. We show that the Teichmüller space of any non-trivial hyperbolic surface lamination is infinite dimensional. In order to prove this result, we study the theory of deformations of hyperbolic surfaces, and we derive what we believe to be a new formula for the derivative of the length of a simple closed geodesic with respect to the action of grafting. This formula complements those derived by McMullen in [23], in terms of the Weil-Petersson metric, and by Wolpert in [33], for the case of earthquakes.
- Año:
- 2019
- Idioma:
- Inglés
- Temas:
- Differential Geometry
- Institución:
- Universidad de la República
- Repositorio:
- COLIBRI
- Enlace(s):
- https://hdl.handle.net/20.500.12008/35003
- Nivel de acceso:
- Acceso abierto