{
  "id": "2208.09911",
  "version": "v1",
  "published": "2022-08-21T15:35:20.000Z",
  "updated": "2022-08-21T15:35:20.000Z",
  "title": "Classification of hyperbolic Dehn fillings",
  "authors": [
    "BoGwang Jeon"
  ],
  "categories": [
    "math.GT",
    "math.NT"
  ],
  "abstract": "Let $M$ be a $2$-cusped hyperbolic $3$-manifold. By the work of Thurston, the product of the derivatives of the holonomies of core geodesics of each Dehn filling of $M$ is an invariant of it. In this paper, we classify Dehn fillings of $M$ with sufficiently large coefficients using this invariant. Further, for any given two Dehn fillings of $M$ (with sufficiently larger coefficients), if their aforementioned invariants are the same, it is shown their complex volumes are the same as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-21T15:35:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic dehn fillings",
      "classification",
      "core geodesics",
      "classify dehn fillings",
      "sufficiently large coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}