Embeddings of braid groups into mapping class groups and their homology

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

2012-04-19

arxiv.org/abs/1204.4310v1

Mathematics

Algebraic Topology

4 figures

Scientific paper

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.

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