{
  "id": "1010.3274",
  "version": "v3",
  "published": "2010-10-15T20:41:21.000Z",
  "updated": "2014-01-17T05:30:40.000Z",
  "title": "Rational analogs of projective planes",
  "authors": [
    "Zhixu Su"
  ],
  "comment": "Accepted for publication by Algebraic & Geometric Topology. Certain computational error corrected in Theorem 3.7",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "In this paper, we study the existence of high-dimensional, closed, smooth manifolds whose rational homotopy type resembles that of a projective plane. Applying rational surgery, the problem can be reduced to finding possible Pontryagin numbers satisfying the Hirzebruch signature formula and a set of congruence relations, which turns out to be equivalent to finding solutions to a system of Diophantine equations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-17T05:30:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R20",
      "57R65",
      "57R67"
    ],
    "keywords": [
      "projective plane",
      "rational analogs",
      "rational homotopy type resembles",
      "hirzebruch signature formula",
      "pontryagin numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.3274S"
    }
  }
}