{
  "id": "1809.09542",
  "version": "v1",
  "published": "2018-09-25T15:23:06.000Z",
  "updated": "2018-09-25T15:23:06.000Z",
  "title": "The existence of an indecomposable minimal genus two Lefschetz fibration",
  "authors": [
    "Anar Akhmedov",
    "Naoyuki Monden"
  ],
  "comment": "7 pages",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "It was shown by Usher that any fiber sum of Lefschetz fibrations over $S^2$ is minimal, which was conjectured by Stipsicz. We prove that the converse does not hold by showing that there exists an indecomposable minimal genus-2 Lefschetz fibration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-25T15:23:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lefschetz fibration",
      "indecomposable minimal genus",
      "fiber sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}