{
  "id": "1407.5351",
  "version": "v2",
  "published": "2014-07-21T00:07:31.000Z",
  "updated": "2015-01-31T19:34:33.000Z",
  "title": "Minimality and fiber sum decompositions of Lefschetz fibrations",
  "authors": [
    "R. Inanc Baykur"
  ],
  "comment": "9 pages, minor corrections and clarifications",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "We give a short proof of a conjecture of Stipsicz on the minimality of fiber sums of Lefschetz fibrations, which was proved earlier by Usher. We then construct the first examples of genus g > 1 Lefschetz fibrations on minimal symplectic 4-manifolds which, up to diffeomorphisms of the summands, admit unique decompositions as fiber sums.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-21T00:07:31.000Z",
      "abstract": "We give a short proof of a conjecture of Stipsicz on the minimality of fiber sums of Lefschetz fibrations, which was proved earlier by Usher. We then construct the first examples of genus g > 1 Lefschetz fibrations on minimal symplectic 4-manifolds which admit unique decompositions as fiber sums.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-01-31T19:34:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fiber sum decompositions",
      "lefschetz fibrations",
      "minimality",
      "admit unique decompositions",
      "short proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.5351B"
    }
  }
}