{
  "annotation_id": "c7d37724-bd3b-4398-a046-91a92e64576f",
  "date_created": "2026-03-02T18:01:24.965000Z",
  "date_modified": "2026-03-02T18:01:24.965000Z",
  "file_hash": "17acc0e5c0595620227317aea678389d5c3035ecbef29e8f9bf0b2772c619557",
  "private": false,
  "record": {
    "abstract": "A new approach to the quantization of Chern-Simons theory has been developed\nin recent papers of the author. It uses a \"simulation\" of the moduli space of\nflat connections modulo the gauge group which reveals to be related to a\nlattice gauge theory based on a quantum group. After a generalization of the\nformalism of q-deformed gauge theory to the case of root of unity, we compute\nexplicitely the correlation functions associated to Wilson loops (and more\ngenerally to graphs) on a surface with punctures, which are the interesting\nquantity in the study of moduli space. We then give a new description of\nChern-Simons three manifolds invariants based on a description in terms of the\nmapping class group of a surface. At last we introduce a three dimensional\nlattice gauge theory based on a quantum group which is a lattice regularization\nof Chern-Simons theory.",
    "arxiv_id": "q-alg/9509020",
    "authors": [
      "E. Buffenoir"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Chern-Simons theory on a lattice and a new description of 3-manifolds   invariants",
    "url": "https://arxiv.org/abs/q-alg/9509020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "21a4ce2d-48e8-4102-8fb9-4e6561737870",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}