{
  "id": "math/0612404",
  "version": "v2",
  "published": "2006-12-14T17:35:43.000Z",
  "updated": "2007-03-15T20:48:37.000Z",
  "title": "The l^2-cohomology of hyperplane complements",
  "authors": [
    "M. W. Davis",
    "T. Januszkiewicz",
    "I. J. Leary"
  ],
  "comment": "v2: Correction to proof of main theorem",
  "categories": [
    "math.AT",
    "math.GR",
    "math.GT"
  ],
  "abstract": "We compute the l^2-Betti numbers of the complement of a finite collection of affine hyperplanes in complex space. At most one of the l^2-Betti numbers is non-zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-03-15T20:48:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B30",
      "32S22",
      "52C35",
      "57N65",
      "58J22"
    ],
    "keywords": [
      "hyperplane complements",
      "finite collection",
      "affine hyperplanes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12404D"
    }
  }
}