{
  "id": "1812.03433",
  "version": "v1",
  "published": "2018-12-09T05:19:41.000Z",
  "updated": "2018-12-09T05:19:41.000Z",
  "title": "Torus actions on oriented manifolds of generalized odd type",
  "authors": [
    "Donghoon Jang"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "Landweber and Stong prove that if a closed spin manifold $M$ admits a smooth $S^1$-action of odd type, then its signature $\\mathrm{sign}(M)$ vanishes. In this paper, we extend the result to a torus action on a closed oriented manifold with generalized odd type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-09T05:19:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized odd type",
      "torus action",
      "closed spin manifold",
      "closed oriented manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}