{
  "id": "2311.03871",
  "version": "v1",
  "published": "2023-11-07T10:41:09.000Z",
  "updated": "2023-11-07T10:41:09.000Z",
  "title": "Hierarchical quandles",
  "authors": [
    "Philipp Korablev"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We introduce the notion of a hierarchical quandle, which is a generalisation of diquandles and multi-quandles. Using hierarchical quandle colourings, we construct a cocycle invariants for links coloured by quandles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-07T10:41:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10",
      "57K18"
    ],
    "keywords": [
      "hierarchical quandle colourings",
      "cocycle invariants",
      "multi-quandles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}