{
  "id": "1811.05109",
  "version": "v1",
  "published": "2018-11-13T05:13:22.000Z",
  "updated": "2018-11-13T05:13:22.000Z",
  "title": "Gluck twists along 2-knots with periodic monodromy",
  "authors": [
    "Mizuki Fukuda"
  ],
  "comment": "11pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "The union of singular orbits of an effective locally smooth circle action on the 4-sphere consists of two 2-knots, $K$ and $K^{\\prime}$, intersecting at two points transversely. Each of $K$ and $K^{\\prime}$ is called a branched twist spin. A twist spun knot is an example of a branched twist spin. The Gluck twists along branched twist spins are studied by Fintushel, Gordon and Pao. In this paper, we determine the 2-knot obtained from $K$ by the Gluck twist along $K^{\\prime}$. As an application, we give infinitely many pairs of inequivalent branched twist spins whose complements are homeomorphic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-13T05:13:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gluck twist",
      "periodic monodromy",
      "twist spun knot",
      "inequivalent branched twist spins",
      "effective locally smooth circle action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}