Embeddings of braid groups into mapping class groups and their homology

Carl-Friedrich Bödigheimer; Ulrike Tillmann

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arXiv · 1204.4310

Embeddings of braid groups into mapping class groups and their homology

Carl-Friedrich Bödigheimer·Ulrike Tillmann

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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.

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BibTeX RIS

Carl-Friedrich Bödigheimer, Ulrike Tillmann. 2012-04-19. Embeddings of braid groups into mapping class groups and their homology. https://arxiv.org/abs/1204.4310

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