{
  "id": "2208.01388",
  "version": "v1",
  "published": "2022-08-02T12:10:51.000Z",
  "updated": "2022-08-02T12:10:51.000Z",
  "title": "Homology and Cohomology of Topological Quandles",
  "authors": [
    "Georgy C. Luke",
    "B. Subhash"
  ],
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "A homology and cohomology theory for topological quandles are introduced. The relation between these (co)homology groups and quandle (co)homology groups are studied. The 1 - topological quandle cocycles are used to compute state sum invariants corresponding to knot diagrams.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-02T12:10:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10",
      "57K12"
    ],
    "keywords": [
      "homology groups",
      "cohomology theory",
      "knot diagrams",
      "state sum invariants corresponding",
      "topological quandle cocycles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}