{
  "id": "1002.3129",
  "version": "v2",
  "published": "2010-02-16T20:09:31.000Z",
  "updated": "2010-02-23T21:03:35.000Z",
  "title": "Cohomology of hyperplane complements with group ring coefficients",
  "authors": [
    "Michael W Davis",
    "Tadeusz Januszkiewicz",
    "Ian J Leary",
    "Boris Okun"
  ],
  "comment": "Second version corrects some misprints in the definition of U_G",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "We compute the cohomology with group ring coefficients of the complement of a finite collection of affine hyperplanes in a finite dimensional complex vector space. It is nonzero in exactly one degree, namely the degree equal to the rank of the hyperplane arrangement.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-02-23T21:03:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N25",
      "20J06",
      "32S22",
      "57N65"
    ],
    "keywords": [
      "group ring coefficients",
      "hyperplane complements",
      "finite dimensional complex vector space",
      "cohomology",
      "affine hyperplanes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.3129D"
    }
  }
}