{
  "id": "math/0507040",
  "version": "v2",
  "published": "2005-07-04T15:57:09.000Z",
  "updated": "2006-02-05T23:15:26.000Z",
  "title": "$\\mathbb P$-objects and autoequivalences of derived categories",
  "authors": [
    "D. Huybrechts",
    "R. P. Thomas"
  ],
  "comment": "13 pages. Published version, minor corrections",
  "journal": "Mathematical Research Letters 13, 87--98, 2006",
  "categories": [
    "math.AG"
  ],
  "abstract": "We describe new autoequivalences of derived categories of coherent sheaves arising from what we call $\\mathbb P^n$-objects of the category. Standard examples arise from holomorphic symplectic manifolds. Under mirror symmetry these autoequivalences should be mirror to Seidel's Dehn twists about lagrangian $\\mathbb P^n$ submanifolds. We give various connections to spherical objects and spherical twists, and include a simple description of Atiyah and Kodaira-Spencer classes in an appendix.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-05T23:15:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J32",
      "18E30"
    ],
    "keywords": [
      "derived categories",
      "autoequivalences",
      "standard examples arise",
      "seidels dehn twists",
      "holomorphic symplectic manifolds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7040H"
    }
  }
}