{
  "id": "2405.14296",
  "version": "v1",
  "published": "2024-05-23T08:16:06.000Z",
  "updated": "2024-05-23T08:16:06.000Z",
  "title": "Two-bridge links and stable maps into the plane",
  "authors": [
    "Kazuhiro Ichihara",
    "Gakuto Kato"
  ],
  "comment": "14 pages, 17 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give a visual construction of stable maps $f$ from the 3-sphere into the real plane enjoying the following properties; the set of definite fold points of $f$ coincides with a given two-bridge link and $f$ only has certain type of fibers containing two indefinite fold points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-23T08:16:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R45",
      "57M99",
      "57K10"
    ],
    "keywords": [
      "two-bridge link",
      "stable maps",
      "indefinite fold points",
      "visual construction",
      "real plane enjoying"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}