{
  "id": "1907.13336",
  "version": "v1",
  "published": "2019-07-31T07:06:52.000Z",
  "updated": "2019-07-31T07:06:52.000Z",
  "title": "On the Morse--Novikov Cohomology of blowing up complex manifolds",
  "authors": [
    "Yongpan Zou"
  ],
  "categories": [
    "math.DG",
    "math.AG",
    "math.CV"
  ],
  "abstract": "Inspired by the recent works of S. Rao--S. Yang--X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse--Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse--Novikov cohomology by introducing the relative Morse--Novikov cohomology group via sheaf cohomology theory and presenting the explicit isomorphism therein.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-31T07:06:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex manifolds",
      "blow-up formula",
      "relative morse-novikov cohomology group",
      "sheaf cohomology theory",
      "simple proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}