{
  "id": "1401.7445",
  "version": "v2",
  "published": "2014-01-29T09:23:21.000Z",
  "updated": "2014-10-28T07:56:24.000Z",
  "title": "On homology 3-spheres defined by two knots",
  "authors": [
    "Masatsuna Tsuchiya"
  ],
  "comment": "21 pages, 102 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that if each of $K_1$ and $K_2$ is a trefoil knot or figure eight knot, the homology 3-sphere defined by the Kirby diagram which is a simple link of $K_1$ and $K_2$ with framing (0, n) is represented by an n-twisted Whitehead double of $K_2$ .",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-29T09:23:21.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-28T07:56:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R65",
      "57M25"
    ],
    "keywords": [
      "trefoil knot",
      "kirby diagram",
      "simple link"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.7445T"
    }
  }
}