{
  "id": "1908.11772",
  "version": "v1",
  "published": "2019-08-30T15:00:35.000Z",
  "updated": "2019-08-30T15:00:35.000Z",
  "title": "Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum",
  "authors": [
    "Misha Verbitsky"
  ],
  "comment": "8 pages, version 1.0",
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "A mapping class group of an oriented manifold is a quotient of its diffeomorphism group by the isotopies. In the published version of \"Mapping class group and a global Torelli theorem for hyperkahler manifolds\" I made an error based on a wrong quotation of Dennis Sullivan's famous paper \"Infinitesimal computations in topology\". I claimed that the natural homomorphism from the mapping class group to the group of automorphims of cohomology of a simply connected Kahler manifold has finite kernel. In a recent preprint arXiv:1907.05693, Matthias Kreck and Yang Su produced counterexamples to this statement. Here I correct this error and other related errors, observing that the results of \"Mapping class group and a global Torelli theorem\" remain true after an appropriate change of terminology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-30T15:00:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mapping class group",
      "global torelli theorem",
      "hyperkahler manifolds",
      "dennis sullivans famous paper",
      "yang su produced counterexamples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}