{
  "id": "1007.0668",
  "version": "v2",
  "published": "2010-07-05T12:52:51.000Z",
  "updated": "2010-09-28T12:35:24.000Z",
  "title": "Weak closure of Singular Abelian $L^p$-bundles in $3$ dimensions",
  "authors": [
    "Mircea Petrache",
    "Tristan Rivière"
  ],
  "comment": "29 pages, some typing errors fixed",
  "categories": [
    "math.AP",
    "math.DG",
    "math.FA"
  ],
  "abstract": "We prove the closure for the sequential weak $L^p$-topology of the class of vectorfields on $B^3$ having integer flux through almost every sphere. We show how this problem is connected to the study of the minimization problem for the Yang-Mills functional in dimension higher than critical, in the abelian case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-28T12:35:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E15",
      "49Q20",
      "35D30",
      "35J20",
      "53C65",
      "49Q15"
    ],
    "keywords": [
      "singular abelian",
      "weak closure",
      "sequential weak",
      "minimization problem",
      "yang-mills functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.0668P"
    }
  }
}