Embedding the braid group in mapping class groups
Motivated by a question of B. Wajnryb we construct embeddings of the braid group in mapping class groups of surfaces, which are not geometric in the sense that the images of standard generators are not Dehn twists. Our construction uses non-orientable sur- faces and the fact that the mapping class g...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:57594 |
| Acceso en línea: | https://ddd.uab.cat/record/57594 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_04 |
| Access Level: | acceso abierto |
| Palabra clave: | Mapping class group Braid group Non-geometric embedding |
| Sumario: | Motivated by a question of B. Wajnryb we construct embeddings of the braid group in mapping class groups of surfaces, which are not geometric in the sense that the images of standard generators are not Dehn twists. Our construction uses non-orientable sur- faces and the fact that the mapping class group of such a surface embeds via lifting of homeomorphisms in the mapping class group of its orientable double cover. |
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