{
  "id": "1602.01131",
  "version": "v1",
  "published": "2016-02-02T22:05:44.000Z",
  "updated": "2016-02-02T22:05:44.000Z",
  "title": "Twisted cohomology pairings of knots II; to classical invariants",
  "authors": [
    "Takefumi Nosaka"
  ],
  "comment": "Any comments are welcome. 24 pages and 6 figures. I divided a certain preprint into some parts. This paper is the second one",
  "categories": [
    "math.GT"
  ],
  "abstract": "We will show that the bilinear cup products with local coefficients of closed 3-manifolds recovers some classical invariants, including the Blanchfield pairing in the knot case and the twisted cup products of infinite covers, and the Casson-Gordon local signatures. As a result, we further give diagrammatic computations of these classical subjects.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-02T22:05:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "twisted cohomology pairings",
      "classical invariants",
      "casson-gordon local signatures",
      "bilinear cup products",
      "twisted cup products"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}