{
  "annotation_id": "0e13c44f-b7d1-4b55-b546-e4129096e375",
  "date_created": "2026-03-02T18:01:21.568000Z",
  "date_modified": "2026-03-02T18:01:21.568000Z",
  "file_hash": "d3b86c273f03d4b3f90a0475511e0a0a7341b645422304aea622264704123c52",
  "private": false,
  "record": {
    "abstract": "Ellipticity of boundary value problems is characterized in terms of the\nCalderon projector. The presence of topological obstructions for the chiral\nDirac operator under local boundary conditions in even dimension is discussed.\nFunctional determinants for Dirac operators on manifolds with boundary are\nconsidered.\n  The functional determinant for a Dirac operator on a bidimensional disk, in\nthe presence of an Abelian gauge field and subject to global boundary\nconditions of the type introduced by Atiyah-Patodi-Singer, is evaluated. The\nrelationship with the index theorem is also commented.",
    "arxiv_id": "physics/9705013",
    "authors": [
      "H. Falomir"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP"
    ],
    "doi": "10.1063/1.54693",
    "title": "Global boundary conditions for the Dirac operator",
    "url": "https://arxiv.org/abs/physics/9705013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e93a90c3-f4bc-433e-9563-aa12fd0ab6af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}