{
  "id": "1603.05090",
  "version": "v1",
  "published": "2016-03-16T13:27:33.000Z",
  "updated": "2016-03-16T13:27:33.000Z",
  "title": "Infinite order corks",
  "authors": [
    "Robert E. Gompf"
  ],
  "comment": "5 pages, 2 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct a compact, contractible 4-manifold $C$, an infinite-order self-diffeomorphism $f$ of its boundary, and a smooth embedding of $C$ into a closed, simply connected 4-manifold $X$, such that the manifolds obtained by cutting $C$ out of $X$ and regluing it by powers of $f$ are all pairwise nondiffeomorphic. The manifold $C$ can be chosen from among infinitely many homeomorphism types, revealing a new construction of corks: attaching a 2-handle to the meridian of a thickened knot complement.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-16T13:27:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R55",
      "57N13"
    ],
    "keywords": [
      "infinite order corks",
      "homeomorphism types",
      "thickened knot complement",
      "infinite-order self-diffeomorphism",
      "nondiffeomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160305090G"
    }
  }
}