{
  "annotation_id": "bd31375d-0ea4-479d-9d09-d5e8a5e39aa5",
  "date_created": "2026-03-02T18:01:24.724000Z",
  "date_modified": "2026-03-02T18:01:24.724000Z",
  "file_hash": "4ec0c780a177eb58253a93d8ae7b68a53117b9e007f97b77eb71096e1c531f6f",
  "private": false,
  "record": {
    "abstract": "We consider a cobordism category whose morphisms are punctured connect sums\nof $S^1 \\times S^2$\u0027s (wormhole spaces) with embedded admissibly colored banded\ntrivalent graphs. We define a TQFT on this cobordism category over the field of\nrational functions in an indeterminant $A.$ For $r$ large, we recover, by\nspecializing $A$ to a primitive 4rth root of unity, the\nWitten-Reshetikhin-Turaev TQFT restricted to links in wormhole spaces. Thus,\nfor $r$ large, the $r$th Witten-Reshetikhin-Turaev invariant of a link in some\nwormhole space, properly normalized, is the value of a certain rational\nfunction at $e^{\\frac{\\pi i}{2r}}.$ We relate our work to Hoste and Przytycki\u0027s\ncalculation of the Kauffman bracket skein module of $S^1 \\times S^2.$",
    "arxiv_id": "q-alg/9507015",
    "authors": [
      "Patrick Gilmer"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Knot Theory, Warsaw 1995 ,ed V.F.R.Jones , J.Kania-Bartoszynska ,\n  J.H.Przytycki , P.Traczyk ,V.Turaev, Banach Center Publications 42,1998,\n  119-127",
    "title": "A TQFT for Wormhole cobordisms over the field of rational functions",
    "url": "https://arxiv.org/abs/q-alg/9507015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "00290a57-a4c9-474a-ba05-a69b7ca749dd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}