{
  "id": "1712.08978",
  "version": "v1",
  "published": "2017-12-25T00:50:17.000Z",
  "updated": "2017-12-25T00:50:17.000Z",
  "title": "Kobayashi-Hitchin correspondence for analytically stable bundles",
  "authors": [
    "Takuro Mochizuki"
  ],
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "We prove the existence of a Hermitian-Einstein metric on holomorphic vector bundles with a Hermitian metric satisfying the analytic stability condition, under some assumption for the underlying K\\\"ahler manifolds. We also study the curvature decay of the Hermitian-Einstein metrics. It is useful for the study of the classification of instantons and monopoles on the quotient of $4$-dimensional Euclidean space by some types of closed subgroups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-25T00:50:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07"
    ],
    "keywords": [
      "analytically stable bundles",
      "kobayashi-hitchin correspondence",
      "hermitian-einstein metric",
      "analytic stability condition",
      "dimensional euclidean space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}