{
  "id": "1803.03137",
  "version": "v1",
  "published": "2018-03-07T07:44:39.000Z",
  "updated": "2018-03-07T07:44:39.000Z",
  "title": "Biquandle cohomology and state-sum invariants of links and surface-links",
  "authors": [
    "Seiichi Kamada",
    "Akio Kawauchi",
    "Jieon Kim",
    "Sang Youl Lee"
  ],
  "comment": "34 pages, 28 figures. arXiv admin note: text overlap with arXiv:1502.01450",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we discuss the (co)homology theory of biquandles, derived biquandle cocycle invariants for oriented surface-links using broken surface diagrams and how to compute the biquandle cocycle invariants from marked graph diagrams. We also develop the shadow (co)homology theory of biquandles and construct the shadow biquandle cocycle invariants for oriented surface-links.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-07T07:44:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "state-sum invariants",
      "biquandle cohomology",
      "shadow biquandle cocycle invariants",
      "homology theory",
      "oriented surface-links"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}