{
  "id": "2202.00311",
  "version": "v1",
  "published": "2022-02-01T10:18:55.000Z",
  "updated": "2022-02-01T10:18:55.000Z",
  "title": "The intersection form on the homology of a surface acted on by a finite group",
  "authors": [
    "Jean Barge",
    "Julien Marche"
  ],
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "Let G be a finite group acting freely on a compact oriented surface S by homeomorphisms preserving the orientation. Then, there exists a G-invariant Lagrangian subspace in the first homology group of S.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-01T10:18:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "intersection form",
      "first homology group",
      "g-invariant lagrangian subspace",
      "compact oriented surface",
      "orientation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}