{
  "id": "0810.5559",
  "version": "v1",
  "published": "2008-10-30T20:01:27.000Z",
  "updated": "2008-10-30T20:01:27.000Z",
  "title": "Topological regluing of rational functions",
  "authors": [
    "Vladlen Timorin"
  ],
  "comment": "38 pages",
  "journal": "Inventiones mathematicae: Volume 179, Issue 3 (2010), Page 461",
  "doi": "10.1007/s00222-009-0220-8",
  "categories": [
    "math.DS"
  ],
  "abstract": "Regluing is a topological operation that helps to construct topological models for rational functions on the boundaries of certain hyperbolic components. It also has a holomorphic interpretation, with the flavor of infinite dimensional Thurston--Teichm\\\"uller theory. We will discuss a topological theory of regluing, and trace a direction in which a holomorphic theory can develop.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-30T20:01:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational functions",
      "topological regluing",
      "infinite dimensional",
      "holomorphic interpretation",
      "construct topological models"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2009,
      "month": "Nov",
      "volume": 179,
      "number": 3,
      "pages": 461
    },
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009InMat.179..461T"
    }
  }
}