{
  "id": "2108.06796",
  "version": "v1",
  "published": "2021-08-15T19:08:35.000Z",
  "updated": "2021-08-15T19:08:35.000Z",
  "title": "Self intersections on a pair of pants",
  "authors": [
    "Diop. ElHadji Abdou Aziz",
    "Gaye. Masseye"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper1 , we use the coding developed by R. Bowen and C. Series to compute the number of self-intersections of a closed geodesic on a pair of pants. We give lower and upper bounds on the number of self-intersections of a closed geodesic on a pair of pants. We prove a conjecture of Moira Chas and Anthony Phillips in [4]. We get also bounds for the number of closed geodesics whose self-intersection number is very close to the maximal self-intersection number on a pair of pants",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-15T19:08:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self intersections",
      "closed geodesic",
      "maximal self-intersection number",
      "upper bounds",
      "moira chas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}