{
  "id": "1201.6000",
  "version": "v1",
  "published": "2012-01-28T23:05:53.000Z",
  "updated": "2012-01-28T23:05:53.000Z",
  "title": "A plug with infinite order and some exotic 4-manifolds",
  "authors": [
    "Motoo Tange"
  ],
  "comment": "13 pages, 17 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Every exotic pair in 4-dimension is obtained each other by twisting a {\\it cork} or {\\it plug} which are codimension 0 submanifolds embedded in the 4-manifolds. The twist was an involution on the boundary of the submanifold. We define cork (or plug) with order $p\\in {\\Bbb N}\\cup \\{\\infty\\}$ and show there exists a plug with infinite order. Furthermore we show twisting $(P,\\varphi^2)$ gives to enlargements of $P$ compact exotic manifolds with boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-28T23:05:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R55",
      "57R65"
    ],
    "keywords": [
      "infinite order",
      "compact exotic manifolds",
      "exotic pair",
      "submanifold",
      "define cork"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.6000T"
    }
  }
}