{
  "id": "1906.00381",
  "version": "v1",
  "published": "2019-06-02T10:10:50.000Z",
  "updated": "2019-06-02T10:10:50.000Z",
  "title": "Studies of distance one surgeries on lens space $l(p,1)$",
  "authors": [
    "Zhongtao Wu",
    "Jingling Yang"
  ],
  "comment": "32 pages, 13 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we study distance one surgeries between lens spaces $L(p,1)$ with $p \\geq 5$ prime and lens spaces $L(n,1)$ for $n \\in \\mathbb{Z}$ and band surgeries from $T(2,p)$ to $T(2,n)$. In particular, we prove that $L(n,1)$ is obtained by a distance one surgery from $L(5,1)$ only if $n=\\pm 1$, $4$, $\\pm 5$, $6$ or $\\pm 9$, and $L(n,1)$ is obtained by a distance one surgery from $L(7,1)$ if and only if $n=\\pm 1$, $3$, $6$, $7$, $8$ or $11$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-02T10:10:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "lens space",
      "study distance",
      "band surgeries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}