{
  "id": "0708.2406",
  "version": "v1",
  "published": "2007-08-17T17:43:54.000Z",
  "updated": "2007-08-17T17:43:54.000Z",
  "title": "On rectangular diagrams, Legendrian knots and transverse knots",
  "authors": [
    "Hiroshi Matsuda",
    "William W. Menasco"
  ],
  "comment": "15 pages, 11 figures",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "A correspondence is studied by H. Matsuda between front projections of Legendrian links in the standard contact structure for 3-space and rectangular diagrams. In this paper, we introduce braided rectangular diagrams, and study a relationship with Legendrian links in the standard contact structure for 3-space. We show Alexander and Markov Theorems for Legendrian links in 3-space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-17T17:43:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "57R17",
      "57M25",
      "57M27"
    ],
    "keywords": [
      "transverse knots",
      "legendrian knots",
      "legendrian links",
      "standard contact structure",
      "markov theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.2406M"
    }
  }
}