{
  "annotation_id": "8e71689e-2f6b-456f-b991-7dde99c4760e",
  "date_created": "2026-03-02T18:02:51.516000Z",
  "date_modified": "2026-03-02T18:02:51.516000Z",
  "file_hash": "33ffe3cfd9566ac1d7a2526de422c53a6459bd52e99e8c1d6e5b7185785124d5",
  "private": false,
  "record": {
    "abstract": "The purpose of this paper is to study Toda-Darboux transforms, i.e., Darboux\ntransforms for operators L(t) flowing according to the Toda lattice. Each\nelement of the null-space $L(t)-z$ specifies a factorization for all t and thus\na Toda-Darboux transform on $L(t)$. The Toda-Darboux map induces a\ntransformation on the tau-vectors, given by a certain vertex operator, and on\neigenfunctions, given by a Wronskian. .",
    "arxiv_id": "solv-int/9712016",
    "authors": [
      "M. Adler",
      "P. van Moerbeke"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Toda-Darboux maps and vertex operators",
    "url": "https://arxiv.org/abs/solv-int/9712016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2665c583-f080-4894-b127-1d46fc6b0440",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}