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arxiv: 1204.4310 · v1 · pith:EMFEJMDFnew · submitted 2012-04-19 · 🧮 math.AT · math.GT

Embeddings of braid groups into mapping class groups and their homology

classification 🧮 math.AT math.GT
keywords groupsbraidembeddingscaseclasshomologymappingnon-orientable
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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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