{
  "id": "math/0610804",
  "version": "v1",
  "published": "2006-10-26T17:54:17.000Z",
  "updated": "2006-10-26T17:54:17.000Z",
  "title": "Calorons, Nahm's equations on S^1 and bundles over P^1xP^1",
  "authors": [
    "Benoit Charbonneau",
    "Jacques Hurtubise"
  ],
  "journal": "Commun.Math.Phys.280:315-349,2008",
  "doi": "10.1007/s00220-008-0468-7",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "The moduli space of solutions to Nahm's equations of rank (k,k+j) on the circle, and hence, of SU(2) calorons of charge (k,j), is shown to be equivalent to the moduli of holomorphic rank 2 bundles on P^1xP^1 trivialized at infinity with c_2=k and equipped with a flag of degree j along P^1x{0}. An explicit matrix description of these spaces is given by a monad construction",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-26T17:54:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07",
      "14D20"
    ],
    "keywords": [
      "nahms equations",
      "explicit matrix description",
      "moduli space",
      "monad construction",
      "holomorphic rank"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2008,
      "month": "Jun",
      "volume": 280,
      "number": 2,
      "pages": 315
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 730151,
      "adsabs": "2008CMaPh.280..315C"
    }
  }
}