{
  "id": "1106.0147",
  "version": "v2",
  "published": "2011-06-01T11:40:46.000Z",
  "updated": "2011-11-10T11:59:38.000Z",
  "title": "On an algebraic formula and applications to group action on manifolds",
  "authors": [
    "Ping Li",
    "Kefeng Liu"
  ],
  "comment": "7 pages, revised slightly to update a new reference and reassign the credit of the idea in this note",
  "journal": "Asian J. Math. 17 (2013), 383-390",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "We consider a purely algebraic result. Then given a circle or cyclic group of prime order action on a manifold, we will use it to estimate the lower bound of the number of fixed points. We also give an obstruction to the existence of $\\mathbb{Z}_p$ action on manifolds with isolated fixed points when $p$ is a prime.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-11-10T11:59:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "group action",
      "algebraic formula",
      "applications",
      "fixed points",
      "prime order action"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.0147L"
    }
  }
}