{
  "id": "2410.20013",
  "version": "v1",
  "published": "2024-10-26T00:09:54.000Z",
  "updated": "2024-10-26T00:09:54.000Z",
  "title": "The knot meridians of (1,1)-knot complements are CTF-detected",
  "authors": [
    "Qingfeng Lyu"
  ],
  "comment": "35 pages, 29 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "For any (1,1)-knot in a lens space, we construct a co-oriented taut foliation in its complement that intersects the boundary torus transversely in a suspension foliation of the knot meridian, or the infinity slope. This provides new evidence for a conjecture made by Boyer, Gordon and Hu using slope detections, related to the L-space conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-26T00:09:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K30",
      "57R30",
      "57K10"
    ],
    "keywords": [
      "knot meridian",
      "complement",
      "co-oriented taut foliation",
      "infinity slope",
      "l-space conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}