{
  "id": "2004.02110",
  "version": "v1",
  "published": "2020-04-05T06:59:59.000Z",
  "updated": "2020-04-05T06:59:59.000Z",
  "title": "Cohomology of quiver Grassmannians of Dynkin quivers",
  "authors": [
    "Yingjin Bi"
  ],
  "comment": "16 pages, preliminary version, comments welcome",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "For a Dynkin quiver, we establish a connection between the cohomology of quiver Grassmannians and the canonical bases of the negative half of the quantized enveloping algebra associated with the quiver. By the categorification of quantized enveloping algebras via KLR algebras, we describe the cohomology of a rigid quiver Grassmannian in term of the corresponding graded dimension of a proper standard module on the corresponding KLR algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-05T06:59:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynkin quiver",
      "cohomology",
      "quantized enveloping algebra",
      "rigid quiver grassmannian",
      "proper standard module"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}