{
  "id": "1507.06561",
  "version": "v1",
  "published": "2015-07-23T16:51:31.000Z",
  "updated": "2015-07-23T16:51:31.000Z",
  "title": "Classification of trisections and the Generalized Property R Conjecture",
  "authors": [
    "Jeffrey Meier",
    "Trent Schirmer",
    "Alexander Zupan"
  ],
  "comment": "14 pages, 2 figures. This paper subsumes the results of arXiv:1503.08511",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the members of a large class of unbalanced four-manifold trisections are standard, and we present a family of trisections that is likely to include non-standard trisections of the four-sphere. As an application, we prove a stable version of the Generalized Property R Conjecture for $c$-component links with tunnel number at most $c$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-23T16:51:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57Q99"
    ],
    "keywords": [
      "generalized property",
      "conjecture",
      "classification",
      "tunnel number",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150706561M"
    }
  }
}