{
  "id": "1207.3958",
  "version": "v1",
  "published": "2012-07-17T11:46:47.000Z",
  "updated": "2012-07-17T11:46:47.000Z",
  "title": "Open book decompositions of fibre sums in contact topology",
  "authors": [
    "Mirko Klukas"
  ],
  "comment": "18 pages, 15 figures",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "In the present paper we describe compatible open books for the fibre connected sum along binding components of open books, as well as for the fibre connected sum along multi-sections of open books. As an application the first description provides simple ways of constructing open books supporting all tight contact structures on $T^3$, recovering a result by van Horn-Morris, as well as an open book supporting the result of a Lutz twist along a binding component of an open book, recovering a result by Ozbagci--Pamuk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-17T11:46:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open book decompositions",
      "fibre sums",
      "contact topology",
      "fibre connected sum",
      "binding component"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.3958K"
    }
  }
}