{
  "id": "math/0006112",
  "version": "v1",
  "published": "2000-06-15T22:27:55.000Z",
  "updated": "2000-06-15T22:27:55.000Z",
  "title": "Knots and Contact Geometry",
  "authors": [
    "John B. Etnyre",
    "Ko Honda"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We classify Legendrian torus knots and figure eight knots in the tight contact structure on the 3-sphere up to Legendrian isotopy. As a corollary to this we also obtain the classification of transversal torus knots and figure eight knots up to transversal isotopy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-06-15T22:27:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "57M50"
    ],
    "keywords": [
      "contact geometry",
      "transversal torus knots",
      "classify legendrian torus knots",
      "tight contact structure",
      "transversal isotopy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......6112E"
    }
  }
}