{
  "id": "1511.08545",
  "version": "v1",
  "published": "2015-11-27T03:03:14.000Z",
  "updated": "2015-11-27T03:03:14.000Z",
  "title": "Koszul complexes, Birkhoff normal form and the magnetic Dirac operator",
  "authors": [
    "Nikhil Savale"
  ],
  "categories": [
    "math.AP",
    "math.DG",
    "math.SP"
  ],
  "abstract": "We consider the semi-classical Dirac operator coupled to a magnetic potential on a large class of manifolds including all metric contact manifolds. We prove a sharp local Weyl law and a bound on its eta invariant. In the absence of a Fourier integral parametrix, the method relies on the use of almost analytic continuations combined with the Birkhoff normal form and local index theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-27T03:03:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P20",
      "81Q20",
      "58J40",
      "58J28"
    ],
    "keywords": [
      "birkhoff normal form",
      "magnetic dirac operator",
      "koszul complexes",
      "sharp local weyl law",
      "fourier integral parametrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}