{
  "id": "2302.05068",
  "version": "v1",
  "published": "2023-02-10T05:57:49.000Z",
  "updated": "2023-02-10T05:57:49.000Z",
  "title": "Certain connect sums of torus knots with infinitely many non-characterizing slopes",
  "authors": [
    "Konstantinos Varvarezos"
  ],
  "comment": "22 pages, 24 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "For a knot $K,$ a slope $r$ is said to be characterizing if for no other knot $J$ does $r$-framed surgery along $J$ yield the same manifold as $r$-framed surgery on $K.$ Applying a condition of Baker and Motegi, we show that the knots $T_{2,2n+3}\\#T_{-2,2n+1}$ have infinitely many non-characterizing slopes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-10T05:57:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10"
    ],
    "keywords": [
      "non-characterizing slopes",
      "torus knots",
      "connect sums",
      "framed surgery"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}