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.
CITATION STYLE
Bödigheimer, C. F., & Tillmann, U. (2012). Embeddings of braid groups into mapping class groups and their homology. In Configuration Spaces: Geometry, Combinatorics and Topology (pp. 173–191). Scuola Normale Superiore. https://doi.org/10.1007/978-88-7642-431-1_7
Mendeley helps you to discover research relevant for your work.