{
  "id": "1303.2394",
  "version": "v2",
  "published": "2013-03-10T23:19:54.000Z",
  "updated": "2013-11-04T22:51:33.000Z",
  "title": "Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature",
  "authors": [
    "Takuro Mochizuki"
  ],
  "comment": "Introduction is expanded. The structure of the paper is changed. Some errors are fixed",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "We study the asymptotic behaviour of doubly periodic instantons with square-integrable curvature. Then, we establish the equivalence given by the Nahm transform between the doubly periodic instantons with square integrable curvature and the wild harmonic bundles on the dual torus.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-04T22:51:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07",
      "14J60"
    ],
    "keywords": [
      "doubly periodic instantons",
      "square integrable curvature",
      "nahm transform",
      "asymptotic behaviour",
      "wild harmonic bundles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.2394M"
    }
  }
}