{
  "id": "1301.0848",
  "version": "v1",
  "published": "2013-01-04T23:32:08.000Z",
  "updated": "2013-01-04T23:32:08.000Z",
  "title": "On Non-zero Degree Maps between Quasitoric 4-Manifolds",
  "authors": [
    "Djordje Baralic"
  ],
  "comment": "2 figures",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "We study the map degrees between quasitoric 4-manifolds. Our results rely on Theorems proved by Duan and Wang. We determine the set D (M, N) of all possible map degrees from M to N when M and N are certain quasitoric 4-manifolds. The obtained sets of integers are interesting, e. g. those representable as the sum of two squares D (C P^2#C P^2, C P^2) or the sum of three squares D (C P^2 # C P^2 # C P^2, C P^2). Beside the general results about the map degrees between quasitoric 4-manifolds, the connections among Duan-Wang's approach, the quadratic forms, the number theory and the lattices is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-04T23:32:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N65",
      "55N33"
    ],
    "keywords": [
      "non-zero degree maps",
      "quasitoric",
      "map degrees",
      "number theory",
      "general results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.0848B"
    }
  }
}