{
  "id": "2204.00965",
  "version": "v1",
  "published": "2022-04-03T01:27:00.000Z",
  "updated": "2022-04-03T01:27:00.000Z",
  "title": "The Calderón problem for the fractional Dirac operator",
  "authors": [
    "Hadrian Quan",
    "Gunther Uhlmann"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We show that knowledge of the source-to-solution map for the fractional Dirac operator acting over sections of a Hermitian vector bundle over a smooth closed connencted Riemannian manifold of dimension $m\\geq 2$ determines uniquely the smooth structure, Riemannian metric, Hermitian bundle and connection, and its Clifford modulo up to a isometry. We also mention several potential applications in physics and other fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-03T01:27:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S05",
      "58J35",
      "58J53"
    ],
    "keywords": [
      "calderón problem",
      "hermitian vector bundle",
      "smooth closed connencted riemannian manifold",
      "fractional dirac operator acting",
      "clifford modulo"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}