{
  "id": "2007.03206",
  "version": "v1",
  "published": "2020-07-07T05:27:26.000Z",
  "updated": "2020-07-07T05:27:26.000Z",
  "title": "Morse homology: orientation of the moduli space of gradient flow lines, coherence and applications",
  "authors": [
    "Mathieu Giroux"
  ],
  "comment": "25 pages, in French",
  "categories": [
    "math.AT",
    "math.AG"
  ],
  "abstract": "In this paper, we shall compute the chain complex and the corresponding homology of some Morse function $f$ over integer coefficients. This requires a careful construction of moduli space of gradient flow lines orientation. We will then apply this construction in the computation of these homology groups on 4-manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-07T05:27:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli space",
      "morse homology",
      "applications",
      "gradient flow lines orientation",
      "chain complex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "fr",
      "license": "arXiv",
      "status": "editable"
    }
  }
}