{
  "id": "math/0005038",
  "version": "v1",
  "published": "2000-05-04T03:10:42.000Z",
  "updated": "2000-05-04T03:10:42.000Z",
  "title": "Braid Groups are Linear",
  "authors": [
    "Stephen J. Bigelow"
  ],
  "comment": "13 pages, 3 figures",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "The braid groups B_n can be defined as the mapping class group of the n-punctured disc. The Lawrence-Krammer representation of the braid group B_n is the induced action on a certain twisted second homology of the space of unordered pairs of points in the n-punctured disc. Recently, Daan Krammer showed that this is a faithful representation in the case n=4. In this paper, we show that it is faithful for all n.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-04T03:10:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "57M07",
      "20C15"
    ],
    "keywords": [
      "braid group",
      "n-punctured disc",
      "mapping class group",
      "daan krammer",
      "twisted second homology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......5038B"
    }
  }
}