{
  "id": "0807.2326",
  "version": "v2",
  "published": "2008-07-15T09:25:28.000Z",
  "updated": "2013-11-05T06:15:49.000Z",
  "title": "Floer homology and existence of incompressible tori in homology spheres",
  "authors": [
    "Eaman Eftekhary"
  ],
  "comment": "This paper has been withdrawn by the author. The results are based on the (incorrect) splicing formula of the initial version of arXiv:0802.2874. The correct splicing formula gives partial results instead, which will appear in a revision",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "We show that if a prime homology sphere has the same Floer homology as the standard three-sphere, it does not contain any incompressible tori.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-05T06:15:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57R58"
    ],
    "keywords": [
      "floer homology",
      "incompressible tori",
      "prime homology sphere",
      "standard three-sphere"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.2326E"
    }
  }
}