{
  "id": "1710.07101",
  "version": "v1",
  "published": "2017-10-19T11:49:06.000Z",
  "updated": "2017-10-19T11:49:06.000Z",
  "title": "The Slope Conjecture for a Family of Montesinos Knots",
  "authors": [
    "Xudong Leng",
    "Zhiqing Yang",
    "Ximin Liu"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "The Slope Conjecture relates the degree of the colored Jones polynomial to the boundary slopes of a knot. We verify the Slope Conjecture and the Strong Slope Conjecture for Montesinos knots $M(\\frac{1}{r},\\frac{1}{s-\\frac{1}{u}},\\frac{1}{t} )$ with $r,u,t$ odd, $s$ even and $u\\leq-1$, $r<-1<1<s,t$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-19T11:49:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "montesinos knots",
      "slope conjecture relates",
      "strong slope conjecture",
      "colored jones polynomial",
      "boundary slopes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}