{
  "id": "math/9904031",
  "version": "v1",
  "published": "1999-04-08T08:37:27.000Z",
  "updated": "1999-04-08T08:37:27.000Z",
  "title": "Invariants of generic immersions and Bernoulli numbers",
  "authors": [
    "Tobias Ekholm"
  ],
  "comment": "21 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "First order invariants of generic immersions of manifolds of dimension nm-1 into manifolds of dimension n(m+1)-1, m,n>1 are constructed using the geometry of self-intersections. The range of one of these invariants is related to Bernoulli numbers. As by-products some geometrically defined invariants of regular homotopy are found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-04-08T08:37:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generic immersions",
      "bernoulli numbers",
      "first order invariants",
      "regular homotopy",
      "self-intersections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......4031E"
    }
  }
}