{
  "id": "1703.04093",
  "version": "v1",
  "published": "2017-03-12T10:05:36.000Z",
  "updated": "2017-03-12T10:05:36.000Z",
  "title": "Round surgery and contact structures on 3-manifolds",
  "authors": [
    "Jiro Adachi"
  ],
  "comment": "20pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Contact round surgery of contact 3-manifolds is introduced in this paper. By using this method, an alternative proof of the existence of a contact structure on any closed orientable 3-manifold is given. It is also proved that any contact structure on any closed orientable 3-manifold is constructed from the standard contact structure on the 3-dimensional sphere by contact round surgeries. For the proof, important operations in contact topology, the Lutz twist and the Giroux torsion, are described in terms of contact round surgeries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-12T10:05:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R17",
      "53D35",
      "57R65"
    ],
    "keywords": [
      "contact round surgery",
      "standard contact structure",
      "important operations",
      "giroux torsion",
      "lutz twist"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}