{
  "id": "1902.08298",
  "version": "v1",
  "published": "2019-02-21T23:03:37.000Z",
  "updated": "2019-02-21T23:03:37.000Z",
  "title": "Good wild harmonic bundles and good filtered Higgs bundles",
  "authors": [
    "Takuro Mochizuki"
  ],
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "We prove the Kobayashi-Hitchin correspondence between good wild harmonic bundles and polystable good filtered Higgs bundles satisfying a vanishing condition. We also study the correspondence for good wild harmonic bundles with the homogeneity with respect to a group action, which is expected to provide another way to construct Frobenius manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-21T23:03:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07",
      "58E15",
      "14D21",
      "81T13"
    ],
    "keywords": [
      "wild harmonic bundles",
      "filtered higgs bundles",
      "construct frobenius manifolds",
      "kobayashi-hitchin correspondence",
      "group action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}