{
  "id": "1404.6892",
  "version": "v1",
  "published": "2014-04-28T08:06:05.000Z",
  "updated": "2014-04-28T08:06:05.000Z",
  "title": "Cyclic branched covers of alternating knots and $L$-spaces",
  "authors": [
    "Masakazu Teragaito"
  ],
  "comment": "10 pages, 8 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "For any alternating knot, it is known that the double branched cover of the $3$-sphere branched over the knot is an $L$-space. We show that the three-fold cyclic branched cover is also an $L$-space for any genus one alternating knot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-28T08:06:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "alternating knot",
      "three-fold cyclic branched cover",
      "double branched cover"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.6892T"
    }
  }
}