{
  "id": "math/0006181",
  "version": "v1",
  "published": "2000-06-23T20:21:37.000Z",
  "updated": "2000-06-23T20:21:37.000Z",
  "title": "On the Reidemeister torsion of rational homology spheres",
  "authors": [
    "Liviu I. Nicolaescu"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that the mod Z reduction of the torsion of a rational homology 3-sphere is completely determined by three data: a certain canonical spin^c structure, the linking form and a Q/Z-valued constant c. This constant is a new topological invariant of the rational homology sphere. Experimentations with lens spaces suggest this constant may be as powerful an invariant as the torsion itself.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-06-23T20:21:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational homology sphere",
      "reidemeister torsion",
      "lens spaces",
      "q/z-valued constant",
      "topological invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......6181N"
    }
  }
}