{
  "id": "1101.2981",
  "version": "v1",
  "published": "2011-01-15T12:43:36.000Z",
  "updated": "2011-01-15T12:43:36.000Z",
  "title": "New Homotopy 4-Spheres",
  "authors": [
    "Daniel Nash"
  ],
  "comment": "11 pages, 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We use surgery along 2-tori embedded in a union of two copies of a product of punctured 2-tori to produce a new collection of homotopy 4-spheres (4-manifolds homotopy equivalent to $S^4$ and hence homeomorphic to $S^4$ but possibly not diffeomorphic to $S^4$). It is still unknown if these new examples are in fact exotic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-15T12:43:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homotopy equivalent",
      "fact exotic",
      "collection",
      "homeomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.2981N"
    }
  }
}