{
  "id": "1009.0331",
  "version": "v2",
  "published": "2010-09-02T05:49:54.000Z",
  "updated": "2011-02-04T09:44:45.000Z",
  "title": "Instanton Floer homology for lens spaces",
  "authors": [
    "H. Sasahira"
  ],
  "comment": "33 pages: an error in Section 4.2 is corrected: Section 4.3 and 4.4 are rewritten",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct instanton Floer homology for lens spaces $L(p,q)$. As an application, we prove that $X = \\CP^2 # \\CP^2$ does not admit a decomposition $X = X_1 \\cup X_2$. Here $X_1$ and $X_2$ are oriented, simply connected, non-spin 4-manifolds with $b^+ = 1$ and with boundary $L(p, 2)$, and $p$ is a prime number of the form $16N+1$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-04T09:44:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R57",
      "57R58"
    ],
    "keywords": [
      "lens spaces",
      "construct instanton floer homology",
      "prime number",
      "application",
      "decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.0331S"
    }
  }
}