{
  "annotation_id": "aa51e0a4-b4c4-4060-b3f9-16586fdb0eca",
  "date_created": "2026-03-02T18:02:50.900000Z",
  "date_modified": "2026-03-02T18:02:50.900000Z",
  "file_hash": "639b0f8eba52e537a480d6f969f203ce99a67aef54559a83867fb25c50bfa321",
  "private": false,
  "record": {
    "abstract": "The Hamiltonian approach to the theory of dual isomonodromic deformations is\ndeveloped within the framework of rational classical R-matrix structures on\nloop algebras. Particular solutions to the isomonodromic deformation equations\nappearing in the computation of correlation functions in integrable quantum\nfield theory models are constructed through the Riemann-Hilbert problem method.\nThe corresponding $\\tau$-functions are shown to be given by the Fredholm\ndeterminant of a special class of integral operators.",
    "arxiv_id": "solv-int/9710012",
    "authors": [
      "J. Harnad"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.1007/BFb0105314",
    "journal_ref": "Lect.Notes Phys.502:63-75,1998",
    "title": "Hamiltonian Dynamics, Classical R-matrices and Isomonodromic   Deformations",
    "url": "https://arxiv.org/abs/solv-int/9710012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "70b1279d-fdc3-4d27-a07a-9b07d616d786",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}