{
  "annotation_id": "65db9d02-0b79-42fa-b780-f09e6cb7e215",
  "date_created": "2026-03-02T18:01:28.366000Z",
  "date_modified": "2026-03-02T18:01:28.366000Z",
  "file_hash": "5e2a7f1251c44b94cd71554921298aa50f9124aeb6a5c236199fe07ab8e65e9e",
  "private": false,
  "record": {
    "abstract": "Feigin and Fuchs have given a well-known construction of intertwining\noperators between \"Fock-type\" modules over the Virasoro algebra. The\nintertwiners are obtained via contour integration of certain \"screening\noperators\" over top homology classes of a configuration space. The main\nobservation of the present paper is that the screening operators contain more\ninformation. Specifically, at the chain level, the screening operators provide\na certain canonical cocycle of the Virasoro (resp. affine Kac-Moody) algebra\nwith coefficients in the de Rham complex of an operator-valued local system on\nthe configuration space. This way we obtain canonical morphisms from higher\nhomology groups of the above local systems to appropriate higher Ext-groups\nbetween the Fock space representations. Our construction is motivated by, and\nin a special case reduces to the construction of Bowknegt et al, see [BMP1],\n[BMP2].",
    "arxiv_id": "q-alg/9704014",
    "authors": [
      "Victor Ginzburg",
      "Vadim Schechtman"
    ],
    "categories": [
      "q-alg",
      "alg-geom",
      "hep-th",
      "math.AG",
      "math.QA"
    ],
    "title": "Screenings and a universal Lie-de Rham cocycle",
    "url": "https://arxiv.org/abs/q-alg/9704014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2d4905e5-071d-49cf-8815-8957d5c1ad9c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}