{
  "id": "1011.4084",
  "version": "v3",
  "published": "2010-11-17T21:50:47.000Z",
  "updated": "2011-02-12T06:54:07.000Z",
  "title": "Three-manifolds and Kaehler groups",
  "authors": [
    "D. Kotschick"
  ],
  "comment": "6 pages; corrected statement of Theorem 6; final version to appear in Ann. Inst. Fourier",
  "journal": "Ann. Inst. Fourier, Grenoble 62 (2012), 1081--1090",
  "categories": [
    "math.GT",
    "math.AG",
    "math.CV",
    "math.GR"
  ],
  "abstract": "We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kaehler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kaehler compact complex surface is infinite cyclic or the direct product of an infinite cyclic group and a group of order two.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-02-12T06:54:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q15",
      "57M05",
      "14F35",
      "32J15",
      "57M50"
    ],
    "keywords": [
      "kaehler groups",
      "non-kaehler compact complex surface",
      "fundamental group",
      "infinite cyclic group",
      "closed three-manifold"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.4084K"
    }
  }
}