Embedding the braid group in mapping class groups
Szepietowski, Blazej (Gdansk University (Polònia). Institute of Mathematics)

Date:	2010
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Mapping class group ; Braid group ; Non-geometric embedding
Published in:	Publicacions matemàtiques, Vol. 54, Núm. 2 (2010) , p. 359-368, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/191388
DOI: 10.5565/PUBLMAT_54210_04

10 p, 148.7 KB

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