{
  "id": "math/0610418",
  "version": "v4",
  "published": "2006-10-12T19:09:50.000Z",
  "updated": "2008-02-04T17:43:38.000Z",
  "title": "Reconstruction of manifolds in noncommutative geometry",
  "authors": [
    "Adam Rennie",
    "Joseph C. Varilly"
  ],
  "comment": "67 pages, no figures, Latex; major changes, a new Appendix A",
  "categories": [
    "math.OA",
    "hep-th"
  ],
  "abstract": "We show that the algebra A of a commutative unital spectral triple (A,H,D) satisfying several additional conditions, slightly stronger than those proposed by Connes, is the algebra of smooth functions on a compact spin manifold.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2008-02-04T17:43:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58B34"
    ],
    "keywords": [
      "noncommutative geometry",
      "reconstruction",
      "commutative unital spectral triple",
      "compact spin manifold",
      "additional conditions"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 67,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 729531,
      "adsabs": "2006math.....10418R"
    }
  }
}