{
  "id": "2011.12274",
  "version": "v1",
  "published": "2020-11-24T18:36:07.000Z",
  "updated": "2020-11-24T18:36:07.000Z",
  "title": "Homological Polynomial Coefficients and the Twist Number of Alternating Surface Links",
  "authors": [
    "David A. Will"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "For $D$ a reduced alternating surface link diagram, we bound the twist number of $D$ in terms of the coefficients of a polynomial invariant. To this end, we introduce a generalization of the homological Kauffman bracket defined by Krushkal. Combined with work of Futer, Kalfagianni, and Purcell, this yields a bound for the hyperbolic volume of a class of alternating surface links in terms of these coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-24T18:36:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homological polynomial coefficients",
      "twist number",
      "reduced alternating surface link diagram",
      "hyperbolic volume",
      "polynomial invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}