{
  "id": "1212.6444",
  "version": "v5",
  "published": "2012-12-23T22:41:27.000Z",
  "updated": "2016-03-21T07:21:16.000Z",
  "title": "Categorification of Donaldson-Thomas invariants via Perverse Sheaves",
  "authors": [
    "Young-Hoon Kiem",
    "Jun Li"
  ],
  "comment": "Completely rewritten. 94 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that there is a perverse sheaf on a fine moduli space of stable sheaves on a smooth projective Calabi-Yau 3-fold, which is locally the perverse sheaf of vanishing cycles for a local Chern-Simons functional, possibly after taking an etale Galois cover. This perverse sheaf lifts to a mixed Hodge module and gives us a cohomology theory which enables us to define the Gopakumar-Vafa invariants mathematically.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-03-20T15:58:09.000Z",
      "comment": "46 pages. Corrects substantial gap in arXiv:1210.3910. References added in v2. Added an Appendix in v3. Added a section on mixed Hodge modules",
      "journal": null,
      "doi": null
    },
    {
      "version": "v5",
      "updated": "2016-03-21T07:21:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perverse sheaves",
      "donaldson-thomas invariants",
      "categorification",
      "perverse sheaf lifts",
      "local chern-simons functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 94,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.6444K"
    }
  }
}