{
  "id": "0804.4327",
  "version": "v1",
  "published": "2008-04-28T15:52:57.000Z",
  "updated": "2008-04-28T15:52:57.000Z",
  "title": "Some remarks on cabling, contact structures, and complex curves",
  "authors": [
    "Matthew Hedden"
  ],
  "comment": "11 pages, 1 figure. This paper will appear in the Proceedings of the 2007 Gokova Geometry and Topology conference",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "We determine the relationship between the contact structure induced by a fibered knot, K, in the three-sphere and the contact structures induced by its various cables. Understanding this relationship allows us to classify fibered cable knots which bound a properly embedded complex curve in the four-ball satisfying a genus constraint. This generalizes the well-known classification of links of plane curve singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-28T15:52:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M25",
      "53D10"
    ],
    "keywords": [
      "contact structure",
      "plane curve singularities",
      "relationship",
      "well-known classification",
      "genus constraint"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.4327H"
    }
  }
}