{
  "id": "1501.01159",
  "version": "v1",
  "published": "2015-01-06T12:33:34.000Z",
  "updated": "2015-01-06T12:33:34.000Z",
  "title": "Seifert surgery on knots via Reidemeister torsion and Casson-Walker-Lescop invariant II",
  "authors": [
    "Teruhisa Kadokami",
    "Noriko Maruyama",
    "Tsuyoshi Sakai"
  ],
  "comment": "6 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "For a knot $K$ with $\\Delta_K(t)\\doteq t^2-3t+1$ in a homology $3$-sphere, let $M$ be the result of $2/q$-surgery on $K$. We show that an appropriate assumption on the Reidemeister torsion of the universal abelian covering of $M$ implies $q=\\pm 1$, if $M$ is a Seifert fibered space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-06T12:33:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R04",
      "11R27",
      "57M25",
      "57M27"
    ],
    "keywords": [
      "reidemeister torsion",
      "casson-walker-lescop invariant",
      "seifert surgery",
      "appropriate assumption",
      "seifert fibered space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150101159K"
    }
  }
}