{
  "id": "2406.15697",
  "version": "v1",
  "published": "2024-06-22T00:35:27.000Z",
  "updated": "2024-06-22T00:35:27.000Z",
  "title": "On the topology of certain $13$-manifolds",
  "authors": [
    "Wen Shen"
  ],
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "This paper gives the classifications of certain $13$-manifolds up to diffeomorphism, homeomorphism, and homotopy equivalence, whose cohomology rings are isomorphic to $H^\\ast(\\mathrm{CP}^3\\times S^7;\\mathbb{Z})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-22T00:35:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R19",
      "57R50"
    ],
    "keywords": [
      "homotopy equivalence",
      "cohomology rings",
      "diffeomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}