{
  "id": "math/0210398",
  "version": "v2",
  "published": "2002-10-25T12:24:44.000Z",
  "updated": "2006-03-31T16:13:43.000Z",
  "title": "Witten's top Chern class via K-theory",
  "authors": [
    "Alessandro Chiodo"
  ],
  "comment": "25 pages, revised version, to appear in J. Algebraic Geom",
  "categories": [
    "math.AG"
  ],
  "abstract": "The Witten top Chern class is the crucial cohomology class needed to state a conjecture by Witten relating the Gelfand-Dikii hierarchies to higher spin curves. In math.AG/0011032, Polishchuk and Vaintrob provide an algebraic construction of such a class. We present a more straightforward construction via K-theory. In this way we short-circuit the passage through bivariant intersection theory and the use of MacPherson's graph construction. Furthermore, we show that the Witten top Chern class admits a natural lifting to the K-theory ring.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-03-31T16:13:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60",
      "14H10"
    ],
    "keywords": [
      "higher spin curves",
      "bivariant intersection theory",
      "macphersons graph construction",
      "crucial cohomology class",
      "algebraic construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10398C"
    }
  }
}