{
  "id": "1206.0219",
  "version": "v2",
  "published": "2012-06-01T15:09:15.000Z",
  "updated": "2012-10-02T21:04:33.000Z",
  "title": "Window shifts, flop equivalences and Grassmannian twists",
  "authors": [
    "Will Donovan",
    "Ed Segal"
  ],
  "comment": "Improved structure and formatting. Minor edits to some explanations. Added acknowledgements and addresses. 38 pages, 7 figures",
  "doi": "10.1112/S0010437X13007641",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We introduce a new class of autoequivalences that act on the derived categories of certain vector bundles over Grassmannians. These autoequivalences arise from Grassmannian flops: they generalize Seidel-Thomas spherical twists, which can be seen as arising from standard flops. We first give a simple algebraic construction, which is well-suited to explicit computations. We then give a geometric construction using spherical functors which we prove is equivalent.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-02T21:04:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "18E30",
      "14M15"
    ],
    "keywords": [
      "flop equivalences",
      "grassmannian twists",
      "window shifts",
      "simple algebraic construction",
      "explicit computations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.0219D"
    }
  }
}