{
  "annotation_id": "b805b53d-6fda-4590-90fd-56ca63b1407e",
  "date_created": "2026-03-02T18:01:28.424000Z",
  "date_modified": "2026-03-02T18:01:28.424000Z",
  "file_hash": "230b2a6988486902fe86dc807a26eada2f8584aa3a0c30b37de36708d458b660",
  "private": false,
  "record": {
    "abstract": "We begin with a brief sketch of what is known and conjectured concerning\nbraided monoidal 2-categories and their applications to 4d topological quantum\nfield theories and 2-tangles (surfaces embedded in 4-dimensional space). Then\nwe give concise definitions of semistrict monoidal 2-categories and braided\nmonoidal 2-categories, and show how these may be unpacked to give long explicit\ndefinitions similar to, but not quite the same as, those given by Kapranov and\nVoevodsky. Finally, we describe how to construct a semistrict braided monoidal\n2-category Z(C) as the `center\u0027 of a semistrict monoidal category C. This is\nanalogous to the construction of a braided monoidal category as the center, or\n`quantum double\u0027, of a monoidal category. As a corollary, our construction\nyields a strictification theorem for braided monoidal 2-categories.",
    "arxiv_id": "q-alg/9511013",
    "authors": [
      "John C. Baez",
      "Martin Neuchl"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Adv. Math. 121 (1996), 196-244",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Higher-Dimensional Algebra I: Braided Monoidal 2-Categories",
    "url": "https://arxiv.org/abs/q-alg/9511013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "afbe8dbc-c37d-4420-a5cc-5ed4e6bd49b4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}