{
  "id": "1212.1743",
  "version": "v2",
  "published": "2012-12-08T00:28:20.000Z",
  "updated": "2013-12-01T16:20:05.000Z",
  "title": "Exotic Stein fillings with arbitrary fundamental group",
  "authors": [
    "Anar Akhmedov",
    "Burak Ozbagci"
  ],
  "comment": "13 pages, Substantially revised and extended from the previous version. The proofs have been streamlined. One new result, Theorem 2, on exotic Lefschetz fibrations added",
  "categories": [
    "math.GT",
    "math.AG",
    "math.CV",
    "math.SG"
  ],
  "abstract": "For any finitely presentable group $G$, we show the existence of an isolated complex surface singularity link which admits infinitely many exotic Stein fillings such that the fundamental group of each filling is isomorphic to $G$. We also provide an infinite family of closed exotic smooth four-manifolds with the fundamental group $G$ such that each member of the family admits a non-holomorphic Lefschetz fibration over the two-sphere.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-01T16:20:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exotic stein fillings",
      "arbitrary fundamental group",
      "isolated complex surface singularity link",
      "closed exotic smooth four-manifolds",
      "non-holomorphic lefschetz fibration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.1743A"
    }
  }
}