{
  "id": "math/9912175",
  "version": "v1",
  "published": "1999-12-21T17:50:20.000Z",
  "updated": "1999-12-21T17:50:20.000Z",
  "title": "On Elliptic Genera and Foliations",
  "authors": [
    "Kefeng Liu",
    "Xiaonan Ma",
    "Weiping Zhang"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DG",
    "math.AT"
  ],
  "abstract": "We prove several vanishing theorems for a class of generalized elliptic genera on foliated manifolds, by using classical equivariant index theory. The main techniques are the use of the Jacobi theta-functions and the construction of a new class of elliptic operators associated to foliations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-12-21T17:50:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D05",
      "57R91"
    ],
    "keywords": [
      "foliations",
      "classical equivariant index theory",
      "main techniques",
      "generalized elliptic genera",
      "elliptic operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....12175L"
    }
  }
}