{
  "id": "2210.07510",
  "version": "v1",
  "published": "2022-10-14T04:33:11.000Z",
  "updated": "2022-10-14T04:33:11.000Z",
  "title": "One stabilization is not enough for contractible 4-manifolds",
  "authors": [
    "Sungkyung Kang"
  ],
  "comment": "17 pages, comments welcome!",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct an example of a cork that remains exotic after taking a connected sum with $S^2 \\times S^2$. Combined with a work of Akbulut-Ruberman, this implies the existence of an exotic pair of contractible 4-manifolds which remains absolutely exotic after taking a connected sum with $S^2 \\times S^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-14T04:33:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R55",
      "57R58"
    ],
    "keywords": [
      "stabilization",
      "contractible",
      "connected sum",
      "remains exotic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}