{
  "id": "2002.09390",
  "version": "v1",
  "published": "2020-02-21T16:17:53.000Z",
  "updated": "2020-02-21T16:17:53.000Z",
  "title": "Coloured Jones and Alexander polynomials as topological intersections of cycles in configuration spaces",
  "authors": [
    "Cristina Ana-Maria Anghel"
  ],
  "comment": "21 pages, Comments welcome",
  "categories": [
    "math.GT",
    "math.QA",
    "math.RT",
    "math.SG"
  ],
  "abstract": "Coloured Jones and Alexander polynomials are sequences of quantum invariants recovering the Jones and Alexander polynomials at the first terms. We show that they can be seen conceptually in the same manner, using topological tools, as intersection pairings in covering spaces between explicit homology classes given by Lagrangian submanifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-21T16:17:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "20F36",
      "16T05",
      "16T25"
    ],
    "keywords": [
      "alexander polynomials",
      "coloured jones",
      "configuration spaces",
      "topological intersections",
      "explicit homology classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}