{
  "id": "2101.03595",
  "version": "v1",
  "published": "2021-01-10T18:26:52.000Z",
  "updated": "2021-01-10T18:26:52.000Z",
  "title": "A note on invertibility of the Dirac operator twisted with Hilbert-A-module coefficients",
  "authors": [
    "Thomas Schick"
  ],
  "comment": "3 pages",
  "categories": [
    "math.DG",
    "math.GT"
  ],
  "abstract": "Given a closed connected spin manifold M with non-negative and somewhere positive scalar curvature, we show that the Dirac operator twisted with any flat Hilbert module bundle is invertible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-10T18:26:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac operator",
      "hilbert-a-module coefficients",
      "invertibility",
      "flat hilbert module bundle",
      "positive scalar curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}