Embeddings of braid groups into mapping class groups and their homology
Algebraic Topology
2012-04-20 v1 Geometric Topology
Abstract
We construct several families of embeddings of braid groups into mapping class groups of orientable and non-orientable surfaces and prove that they induce the trivial map in stable homology in the orientable case, but not so in the non-orientable case. We show that these embeddings are non-geometric in the sense that the standard generators of the braid group are not mapped to Dehn twists.
Cite
@article{arxiv.1204.4310,
title = {Embeddings of braid groups into mapping class groups and their homology},
author = {Carl-Friedrich Bödigheimer and Ulrike Tillmann},
journal= {arXiv preprint arXiv:1204.4310},
year = {2012}
}
Comments
4 figures