{
  "annotation_id": "0561a482-7133-4a16-ab41-69a2328ce524",
  "date_created": "2026-03-02T18:01:27.731000Z",
  "date_modified": "2026-03-02T18:01:27.731000Z",
  "file_hash": "8fdf01a564a1b078ed46ca98d0c57038236b31460cecbf3c4c1b7b1b716e83b7",
  "private": false,
  "record": {
    "abstract": "The elliptic quantum Knizhnik-Zamolodchikov-Bernard (qKZB) difference\nequations associated to the elliptic quantum group $E_{\\tau,\\eta}(sl_2)$ is a\nsystem of difference equations with values in a tensor product of\nrepresentations of the quantum group and defined in terms of the elliptic\nR-matrices associated with pairs of representations of the quantum group. In\nthis paper we solve the qKZB equations in terms of elliptic hypergeometric\nfunctions and decribe the monodromy properties of solutions. It turns out that\nthe monodromy transformations of solutions are described in terms of elliptic\nR-matrices associated with pairs of representations of the \"dual\" elliptic\nquantum group $E_{p,\\eta}(sl_2)$, where $p$ is the step of the difference\nequations. Our description of the monodromy is analogous to the Kohno-Drinfeld\ndescription the monodromy group of solutions of the KZ differential equations\nassociated to a simple Lie algebra in terms of the corresponding quantum group.",
    "arxiv_id": "q-alg/9705017",
    "authors": [
      "Giovanni Felder",
      "Vitaly Tarasov",
      "Alexander Varchenko"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Monodromy of solutions of the elliptic quantum   Knizhnik-Zamolodchikov-Bernard difference equations",
    "url": "https://arxiv.org/abs/q-alg/9705017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3b550a4e-5a03-4fba-8d9f-a37742207fc5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}