Bers' constants for punctured spheres and hyperelliptic surfaces
The main goal of this paper is to present a proof of Buser's conjecture about Bers' constants for spheres with cusps (or marked points) and for hyperelliptic surfaces. More specifically, our main result states that any hyperbolic sphere with n cusps has a pants decomposition with all of it...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:287675 |
| Acceso en línea: | https://ddd.uab.cat/record/287675 https://dx.doi.org/urn:doi:10.1142/S179352531250015X |
| Access Level: | acceso abierto |
| Palabra clave: | Bers' constants Riemann surfaces Simple closed geodesics Teichmüller and moduli spaces |
| Sumario: | The main goal of this paper is to present a proof of Buser's conjecture about Bers' constants for spheres with cusps (or marked points) and for hyperelliptic surfaces. More specifically, our main result states that any hyperbolic sphere with n cusps has a pants decomposition with all of its geodesics of length bounded by 30√2π(n-2). Other results include lower and upper bounds for Bers' constants for hyperelliptic surfaces and spheres with boundary geodesics. |
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