{
  "id": "2103.00767",
  "version": "v1",
  "published": "2021-03-01T05:48:48.000Z",
  "updated": "2021-03-01T05:48:48.000Z",
  "title": "On the trace fields of hyperbolic Dehn fillings",
  "authors": [
    "Stavros Garoufalidis",
    "BoGwang Jeon"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Assuming Lehmer's conjecture, we estimate the degree of the trace field $K(M_{p/q})$ of a hyperbolic Dehn-filling $M_{p/q}$ of a 1-cusped hyperbolic 3-manifold $M$ by \\begin{equation*} \\dfrac{1}{C}(\\max\\;\\{|p|,|q|\\})\\leq \\text{deg }K(M_{p/q}) \\leq C(\\max\\;\\{|p|,|q|\\}) \\end{equation*} where $C=C_M$ is a constant that depends on $M$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-01T05:48:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic dehn fillings",
      "trace field",
      "assuming lehmers conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}