Embeddings of braid groups into mapping class groups and their homology
Embeddings of braid groups into mapping class groups and their homology
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 …