{
  "id": "1804.03645",
  "version": "v2",
  "published": "2018-04-10T17:46:52.000Z",
  "updated": "2022-01-24T07:42:42.000Z",
  "title": "Hecke correspondences for smooth moduli spaces of sheaves",
  "authors": [
    "Andrei Neguţ"
  ],
  "categories": [
    "math.AG",
    "math.QA"
  ],
  "abstract": "We define functors on the derived category of the moduli space M of stable sheaves on a smooth projective surface (under Assumptions A and S below), and prove that these functors satisfy certain relations. These relations allow us to prove that the given functors induce an action of the elliptic Hall algebra on the K-theory of the moduli space M, thus generalizing the action studied by Nakajima, Grojnowski and Baranovsky in cohomology.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-01-24T07:42:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20"
    ],
    "keywords": [
      "smooth moduli spaces",
      "hecke correspondences",
      "elliptic hall algebra",
      "smooth projective surface",
      "define functors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}