{
  "id": "1401.4731",
  "version": "v2",
  "published": "2014-01-19T20:09:13.000Z",
  "updated": "2015-04-28T09:36:09.000Z",
  "title": "Universality of actions on $\\mathbb HP^2$",
  "authors": [
    "Andrey Kustarev"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We show that any eight-dimensional oriented manifold $M$ possessing smooth circle action with exactly three fixed points has the same weight system as some circle action on $\\mathbb HP^2$. It follows that Pontryagin numbers and equivariant cohomology of $M$ coincide to that of $\\mathbb HP^2$; if $M$ admits cellular decomposition of only three cells, it is diffeomorphic to $\\mathbb HP^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-19T20:09:13.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-28T09:36:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universality",
      "admits cellular decomposition",
      "possessing smooth circle action",
      "eight-dimensional oriented manifold",
      "equivariant cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.4731K"
    }
  }
}