{
  "id": "1808.08532",
  "version": "v1",
  "published": "2018-08-26T11:38:03.000Z",
  "updated": "2018-08-26T11:38:03.000Z",
  "title": "Twisted cohomology pairings of knots III; triple cup products",
  "authors": [
    "Takefumi Nosaka"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given a representation of a link group, we introduce a trilinear form, as a topological invariant. We show that, if the link is either hyperbolic or a knot with malnormality, then the trilinear form equals the pairing of the (twisted) triple cup product and the fundamental relative 3-class. Further, we give some examples of the computation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-26T11:38:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "triple cup product",
      "twisted cohomology pairings",
      "trilinear form equals",
      "link group",
      "computation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}