{
  "id": "math/0610868",
  "version": "v1",
  "published": "2006-10-27T22:06:18.000Z",
  "updated": "2006-10-27T22:06:18.000Z",
  "title": "The Classification of Dehn fillings on the outer torus of a 1-bridge braid exterior which produce solid tori",
  "authors": [
    "Ying-Qing Wu"
  ],
  "journal": "Math. Ann. 330 (2004), 1--15",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $K= K(w,b,t)$ be a 1-bridge braid in a solid torus $V$, and let $\\gamma$ be a $(p,q)$ curve on the torus $T = \\partial V$ of the exterior $M_K$ of $K$. It will be shown that Dehn filling on $T$ along $\\gamma$ produces a solid torus if and only if $p$ and $q$ satisfy one of four conditions determined by the parameters $(w,b,t)$ of the knot $K$. This solves the classification problem raised by Menasco and Zhang for such Dehn fillings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-27T22:06:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10"
    ],
    "keywords": [
      "solid torus",
      "produce solid tori",
      "dehn filling",
      "outer torus",
      "braid exterior"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10868W"
    }
  }
}