{
  "id": "0705.1451",
  "version": "v1",
  "published": "2007-05-10T12:18:38.000Z",
  "updated": "2007-05-10T12:18:38.000Z",
  "title": "Homotopy Lie algebra of the complements of subspace arrangements with geometric lattices",
  "authors": [
    "G. Debongnie"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let A be a geometric arrangement such that codim(x) > 1 for every x in A. We prove that, if the complement space M(A) is rationally hyperbolic, then there exists an injective from a free Lie algebra L(u,v) to the homotopy Lie algebra of M(A).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-05-10T12:18:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P62"
    ],
    "keywords": [
      "homotopy lie algebra",
      "subspace arrangements",
      "geometric lattices",
      "free lie algebra",
      "complement space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.1451D"
    }
  }
}