Convexity of strata in diagonal pants graphs of surfaces
We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analogy with the extrinsic geometric properties of strata in the Weil-Petersson completion. As a consequence, we exhibit convex flat subgraphs of every possible rank inside the diagonal pants graph.
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:102797 |
| Acceso en línea: | https://ddd.uab.cat/record/102797 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_57113_08 |
| Access Level: | acceso abierto |
| Palabra clave: | Pants complex Forgetful map Weil-Petersson metric |
| Sumario: | We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analogy with the extrinsic geometric properties of strata in the Weil-Petersson completion. As a consequence, we exhibit convex flat subgraphs of every possible rank inside the diagonal pants graph. |
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