{
  "id": "math/0303283",
  "version": "v1",
  "published": "2003-03-24T18:13:04.000Z",
  "updated": "2003-03-24T18:13:04.000Z",
  "title": "Arrangements associated to chordal graphs and limits of colored braid groups",
  "authors": [
    "Frederic Chapoton",
    "Patrick Polo"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let G be a chordal graph, X(G) the complement of the associated complex arrangement and Gamma(G) the fundamental group of X(G). We show that Gamma(G) is a limit of colored braid groups over the poset of simplices of G. When G = G_T is the comparability graph associated with a rooted tree T, a case recently investigated by the first author, the result takes the following very simple form: Gamma(G_T) is a limit over T of colored braid groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-24T18:13:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C35",
      "55R10",
      "20F36",
      "18A30",
      "05C38"
    ],
    "keywords": [
      "colored braid groups",
      "chordal graph",
      "arrangements",
      "comparability graph",
      "fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3283C"
    }
  }
}