{
  "id": "0704.2119",
  "version": "v3",
  "published": "2007-04-17T09:22:39.000Z",
  "updated": "2007-06-15T16:28:50.000Z",
  "title": "Conformal Structures in Noncommutative Geometry",
  "authors": [
    "Christian Baer"
  ],
  "comment": "8 pages, published version",
  "journal": "J. Noncomm. Geom. 1 (2007), 385-395",
  "categories": [
    "math.DG"
  ],
  "abstract": "It is well-known that a compact Riemannian spin manifold can be reconstructed from its canonical spectral triple which consists of the algebra of smooth functions, the Hilbert space of square integrable spinors and the Dirac operator. It seems to be a folklore fact that the metric can be reconstructed up to conformal equivalence if one replaces the Dirac operator D by sign(D). We give a precise formulation and proof of this fact.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-06-15T16:28:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58B34",
      "53C27",
      "53A30"
    ],
    "keywords": [
      "conformal structures",
      "noncommutative geometry",
      "compact riemannian spin manifold",
      "dirac operator",
      "canonical spectral triple"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.2119B"
    }
  }
}