{
  "annotation_id": "577ef727-6aca-468a-a578-314ca969f201",
  "date_created": "2026-02-17T05:53:11.954000Z",
  "date_modified": "2026-02-17T05:53:11.954000Z",
  "file_hash": "4f2210104f9b952e02722d12521e7f481f43bda5a679deb3f3cd117f84703753",
  "private": false,
  "record": {
    "abstract": "We relate Bruhat numbers in real Morse theory to cluster variables in braid varieties. This provides instances of wall-crossing coordinates in the study of Cerf diagrams.",
    "arxiv_id": "2601.07776",
    "authors": [
      "Roger Casals"
    ],
    "categories": [
      "math.GT",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "On wall-crossing coordinates in Cerf theory",
    "url": "https://arxiv.org/abs/2601.07776",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a9787f0b-e723-4685-9b71-c8efe79628ac",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}