{
  "id": "1808.10321",
  "version": "v1",
  "published": "2018-08-30T14:45:18.000Z",
  "updated": "2018-08-30T14:45:18.000Z",
  "title": "Niemeier lattices, smooth 4-manifolds and instantons",
  "authors": [
    "Christopher Scaduto"
  ],
  "comment": "17 pages, 8 figures. Comments welcome!",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "We show that the set of even positive definite lattices that arise from smooth, simply-connected 4-manifolds bounded by a fixed homology 3-sphere can depend on more than the ranks of the lattices. We provide two homology 3-spheres with distinct sets of such lattices, each containing a distinct nonempty subset of the rank 24 Niemeier lattices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-30T14:45:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R57",
      "57M27"
    ],
    "keywords": [
      "niemeier lattices",
      "instantons",
      "distinct nonempty subset",
      "positive definite lattices",
      "distinct sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}