{
  "id": "math/0605441",
  "version": "v1",
  "published": "2006-05-16T16:24:28.000Z",
  "updated": "2006-05-16T16:24:28.000Z",
  "title": "Invariants of contact structures from open books",
  "authors": [
    "John B. Etnyre",
    "Burak Ozbagci"
  ],
  "comment": "18 pages, 11 figures",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "In this note we define three invariants of contact structures in terms of open books supporting the contact structures. These invariants are the support genus (which is the minimal genus of a page of a supporting open book for the contact structure), the binding number (which is the minimal number of binding components of a supporting open book for the contact structure with minimal genus pages) and the norm (which is minus the maximal Euler characteristic of a page of a supporting open book).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-16T16:24:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R17"
    ],
    "keywords": [
      "contact structure",
      "supporting open book",
      "invariants",
      "maximal euler characteristic",
      "minimal genus pages"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5441E"
    }
  }
}