{
  "id": "math/0312146",
  "version": "v1",
  "published": "2003-12-07T15:00:17.000Z",
  "updated": "2003-12-07T15:00:17.000Z",
  "title": "The first $L^2$-Betti number for classifying spaces of variations of Hodge structures",
  "authors": [
    "Juergen Jost",
    "Yuanlong Xin"
  ],
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "The first Betti number for a lattice in a classifying space for variations of Hodge structures vanishes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-07T15:00:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D07",
      "32G20"
    ],
    "keywords": [
      "classifying space",
      "variations",
      "first betti number",
      "hodge structures vanishes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12146J"
    }
  }
}