{
  "id": "1602.01129",
  "version": "v1",
  "published": "2016-02-02T22:03:54.000Z",
  "updated": "2016-02-02T22:03:54.000Z",
  "title": "Twisted cohomology pairings of knots I; diagrammatic computation",
  "authors": [
    "Takefumi Nosaka"
  ],
  "comment": "Any comments are welcome. 25 pages and 5 figures. I divided a certain preprint into some parts. This paper is the first one",
  "categories": [
    "math.GT"
  ],
  "abstract": "We provide a diagrammatic computation for the bilinear form, which is defined as the pairing between the (relative) cup products with every local coefficients and every integral homology 2-class of every links in the 3-sphere. As a corollary, we construct bilinear forms on the twisted Alexander modules of links.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-02T22:03:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "twisted cohomology pairings",
      "diagrammatic computation",
      "construct bilinear forms",
      "cup products",
      "local coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160201129N"
    }
  }
}