{
  "id": "math/0003219",
  "version": "v1",
  "published": "2000-03-30T19:30:10.000Z",
  "updated": "2000-03-30T19:30:10.000Z",
  "title": "Cohomology of congruence subgroups of SL(4,Z)",
  "authors": [
    "Avner Ash",
    "Paul E. Gunnells",
    "Mark McConnell"
  ],
  "comment": "29 pp",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $N>1$ be an integer, and let $\\Gamma = \\Gamma_0 (N) \\subset \\SL_4 (\\Z)$ be the subgroup of matrices with bottom row congruent to $(0,0,0,*)\\mod N$. We compute $H^5 (\\Gamma; \\C) $ for a range of $N$, and compute the action of some Hecke operators on many of these groups. We relate the classes we find to classes coming from the boundary of the Borel-Serre compactification, to Eisenstein series, and to classical holomorphic modular forms of weights 2 and 4.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-03-30T19:30:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F75"
    ],
    "keywords": [
      "congruence subgroups",
      "cohomology",
      "classical holomorphic modular forms",
      "row congruent",
      "eisenstein series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......3219A"
    }
  }
}