{
  "id": "1608.05110",
  "version": "v1",
  "published": "2016-08-17T21:45:43.000Z",
  "updated": "2016-08-17T21:45:43.000Z",
  "title": "Symplectically replacing plumbings with Euler characteristic 2 4-manifolds",
  "authors": [
    "Jonathan Simone"
  ],
  "comment": "23 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "A 2-replaceable linear plumbing is defined to be a linear plumbing whose lens space boundary, equipped with the canonical contact structure inherited from the standard contact structure on $S^3$, has a minimal strong symplectic filling of Euler characteristic 2. A 2-replaceable plumbing tree is defined in an analogous way. In this paper, we classify all 2-replaceable linear plumbings, build some families of 2-replaceable plumbing trees, and use one such tree to construct a symplectic exotic $\\mathbb{C}P^2#6\\bar{\\mathbb{C}P}^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-17T21:45:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "euler characteristic",
      "symplectically replacing plumbings",
      "linear plumbing",
      "lens space boundary",
      "standard contact structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}