{
  "id": "1401.1928",
  "version": "v3",
  "published": "2014-01-09T08:50:34.000Z",
  "updated": "2015-09-17T14:07:07.000Z",
  "title": "Geometric construction of generators of CoHA of doubled quiver",
  "authors": [
    "Zongbin Chen"
  ],
  "comment": "8 pages, published version on Comptes Rendus",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $Q$ be the doubled of a quiver. According to Efimov, Kontsevich and Soibelman, the cohomological Hall algebra (CoHA) associated to $Q$ is a free super-commutative algebra. In this short note, we confirm a conjecture of Hausel which gives a geometric realisation of the generators of the CoHA.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-17T13:45:25.000Z",
      "comment": "6 pages, minor changes, remove the misusage of the word \"finite quiver\"",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-09-17T14:07:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geometric construction",
      "doubled quiver",
      "generators",
      "geometric realisation",
      "free super-commutative algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.1928C"
    }
  }
}