{
  "id": "1910.14580",
  "version": "v1",
  "published": "2019-10-31T16:32:43.000Z",
  "updated": "2019-10-31T16:32:43.000Z",
  "title": "Gluing in geometric analysis via maps of Banach manifolds with corners and applications to gauge theory",
  "authors": [
    "Paul M. N. Feehan",
    "Thomas G. Leness"
  ],
  "comment": "72 pages",
  "categories": [
    "math.DG",
    "math-ph",
    "math.AP",
    "math.GT",
    "math.MP"
  ],
  "abstract": "We describe a new approach to the problem of constructing gluing parameterizations for open neighborhoods of boundary points of moduli spaces of anti-self-dual connections over closed four-dimensional manifolds. Our approach employs general results from differential topology for $C^1$ maps of smooth Banach manifolds with corners, providing a method that should apply to other problems in geometric analysis involving the gluing construction of solutions to nonlinear partial differential equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-31T16:32:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geometric analysis",
      "gauge theory",
      "applications",
      "nonlinear partial differential equations",
      "approach employs general results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 72,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}