{
  "id": "1511.06054",
  "version": "v1",
  "published": "2015-11-19T03:56:13.000Z",
  "updated": "2015-11-19T03:56:13.000Z",
  "title": "Quantum Teichmüller spaces and quantum trace map",
  "authors": [
    "Thang T. Q. Le"
  ],
  "comment": "35 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show how the quantum trace map of Bonahon and Wong can be constructed in a natural way using the skein algebra of Muller, which is an extension of the Kauffman bracket skein algebra of surfaces. We also show that the quantum Teichm\\\"uller space of a marked surface, defined by Chekhov-Fock (and Kashaev) in an abstract way, can be realized as a concrete subalgebra of the skew field of the skein algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-19T03:56:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "quantum trace map",
      "quantum teichmüller spaces",
      "kauffman bracket skein algebra",
      "natural way",
      "abstract way"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151106054L",
      "inspire": 1405506
    }
  }
}