{
  "id": "math/0005218",
  "version": "v1",
  "published": "2000-05-23T00:58:58.000Z",
  "updated": "2000-05-23T00:58:58.000Z",
  "title": "The Yang-Mills Measure in the Kauffman Bracket Skein Module",
  "authors": [
    "Doug Bullock",
    "Charles Frohman",
    "Joanna Kania-Bartoszynska"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "For each closed, orientable surface F, we construct a local, diffeomorphism invariant trace on the Kauffman bracket skein module K_t(F x [0,1]). The trace is defined when |t| is neither 0 nor 1, and at certain roots of unity. At t = - 1, the trace is integration against the symplectic measure on the SU(2) character variety of the fundamental group of F.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-23T00:58:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kauffman bracket skein module",
      "yang-mills measure",
      "diffeomorphism invariant trace",
      "symplectic measure",
      "character variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 528065,
      "adsabs": "2000math......5218B"
    }
  }
}