{
  "id": "1409.7422",
  "version": "v1",
  "published": "2014-09-25T21:16:49.000Z",
  "updated": "2014-09-25T21:16:49.000Z",
  "title": "Homology of the braid group with coefficients in the reduced Burau representation",
  "authors": [
    "Weiyan Chen"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GT",
    "math.AT",
    "math.RT"
  ],
  "abstract": "The reduced Burau representation $V_n$ of the braid group $B_n$ is obtained from the action of $B_n$ on the homology of an infinite cyclic cover of the $n$-punctured disc. In this note, we calculate $H_*(B_n;V_n)$ as a module over the Laurent polynomial ring $\\mathbb{Q}[t,t^{-1}]$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-25T21:16:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reduced burau representation",
      "braid group",
      "coefficients",
      "infinite cyclic cover",
      "punctured disc"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.7422C"
    }
  }
}