{
  "id": "1210.3910",
  "version": "v2",
  "published": "2012-10-15T06:13:22.000Z",
  "updated": "2012-10-17T03:42:29.000Z",
  "title": "Categorification of Donaldson-Thomas invariants by Perverse Sheaves",
  "authors": [
    "Young-Hoon Kiem",
    "Jun Li"
  ],
  "comment": "It was brought to the authors' attention that there is an important sign issue that was overlooked, so this paper is withdrawn by the authors",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that there is a natural perverse sheaf on the moduli space of semistable sheaves on a smooth projective Calabi-Yau 3-fold which is locally the perverse sheaf of vanishing cycles for a local Chern-Simons functional. This gives us a cohomology theory whose Euler numbers are Donaldson-Thomas invariants.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-17T03:42:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "donaldson-thomas invariants",
      "perverse sheaves",
      "categorification",
      "natural perverse sheaf",
      "local chern-simons functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1190740,
      "adsabs": "2012arXiv1210.3910K"
    }
  }
}