{
  "id": "1204.4310",
  "version": "v1",
  "published": "2012-04-19T11:10:28.000Z",
  "updated": "2012-04-19T11:10:28.000Z",
  "title": "Embeddings of braid groups into mapping class groups and their homology",
  "authors": [
    "Carl-Friedrich Bödigheimer",
    "Ulrike Tillmann"
  ],
  "comment": "4 figures",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-19T11:10:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mapping class groups",
      "braid group",
      "embeddings",
      "trivial map",
      "standard generators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.4310B"
    }
  }
}