{
  "id": "2012.13512",
  "version": "v1",
  "published": "2020-12-25T04:27:34.000Z",
  "updated": "2020-12-25T04:27:34.000Z",
  "title": "Some comparisons of Blanchfield pairings and cohomology pairings of knots",
  "authors": [
    "Takefumi Nosaka"
  ],
  "comment": "16 pages, 8 figures. Comments are welcome. arXiv admin note: text overlap with arXiv:1602.01131",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study some comparison between a bilinear cohomology pairing in local coefficients and the Blanchfield pairing of a knot. We show that the former pairing is an $S$-equivalent invariant, and give a criterion to a relation between the two pairings. We also observe that the pairings of some knots are equivalent, and that the pairings of other knots are not equivalent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-25T04:27:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "blanchfield pairing",
      "comparison",
      "local coefficients",
      "equivalent invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}