{
  "id": "1710.10353",
  "version": "v1",
  "published": "2017-10-27T22:49:59.000Z",
  "updated": "2017-10-27T22:49:59.000Z",
  "title": "A Novikov fundamental group",
  "authors": [
    "J. -F. Barraud",
    "A. Gadbled",
    "Hong Van Lee"
  ],
  "comment": "19 pages, 4 drawings (inkscape)",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "Given a $1$-cohomology class $u$ on a closed manifold $M$, we define a Novikov fundamental group associated to $u$, generalizing the usual fundamental group in the same spirit as Novikov homology generalizes Morse homology to the case of non exact $1$-forms. As an application, lower bounds for the minimal number of index $1$ and $2$ critical points of Morse closed $1$-forms are obtained, that are different in nature from those derived from the Novikov homology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-27T22:49:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R19",
      "57R70",
      "57R17"
    ],
    "keywords": [
      "novikov fundamental group",
      "novikov homology generalizes morse homology",
      "usual fundamental group",
      "cohomology class",
      "non exact"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}