{
  "id": "1710.11034",
  "version": "v1",
  "published": "2017-10-30T16:03:41.000Z",
  "updated": "2017-10-30T16:03:41.000Z",
  "title": "Classification of Engel Knots",
  "authors": [
    "Roger Casals",
    "Álvaro del Pino"
  ],
  "comment": "10 Pages, 3 Figures. Comments welcome !",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "For any Engel 4-fold, we show that the scanning map from the space of Engel knots to the space of formal Engel knots is a weak homotopy equivalence when restricted to the complement of the orbits of the Engel kernel. This is a relative, parametric and close h-principle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-30T16:03:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classification",
      "weak homotopy equivalence",
      "formal engel knots",
      "engel kernel",
      "close h-principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}