{
  "annotation_id": "4ac6bd5c-88cf-47a6-b0f0-8c8473353c38",
  "date_created": "2026-02-17T05:53:20.295000Z",
  "date_modified": "2026-02-17T05:53:20.295000Z",
  "file_hash": "fb141d616b890009dfc6a57b5248f27ed3121ced69e73ce8f9ba0612dc4bbca8",
  "private": false,
  "record": {
    "abstract": "For oriented surfaces $\\Sigma$ with boundary, we consider the infinite-dimensional deformation space of projective structures on $\\Sigma$ with nondegenerate boundary, up to isotopies fixing the boundary. We show that this space carries a natural symplectic structure, and is a Hamiltonian space for the symplectic groupoid integrating the Adler-Gelfand-Dikii-space of the boundary.",
    "arxiv_id": "2601.09662",
    "authors": [
      "Ahmadreza Khazaeipoul",
      "Eckhard Meinrenken"
    ],
    "categories": [
      "math.SG",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Symplectic geometry of projective structures on surfaces with boundary",
    "url": "https://arxiv.org/abs/2601.09662",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "db453e0f-160d-40ae-aa0d-7205664c683b",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}