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 surfaces
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 cove
Publié le : 2010-05-15
Classification:
Mapping class group,
braid group,
non-geometric embedding,
20F36,
57N05,
20F38
@article{1277731537,
author = {Szepietowski, B\l a\.zej},
title = {Embedding the braid group in mapping class groups},
journal = {Publ. Mat.},
volume = {54},
number = {2},
year = {2010},
pages = { 359-368},
language = {en},
url = {http://dml.mathdoc.fr/item/1277731537}
}
Szepietowski, Błażej. Embedding the braid group in mapping class groups. Publ. Mat., Tome 54 (2010) no. 2, pp. 359-368. http://gdmltest.u-ga.fr/item/1277731537/