{
  "id": "2206.11883",
  "version": "v1",
  "published": "2022-06-23T17:49:17.000Z",
  "updated": "2022-06-23T17:49:17.000Z",
  "title": "Asymptotic Geometry of the Moduli Space of Rank Two Irregular Higgs Bundles over the Projective Line",
  "authors": [
    "Gao Chen",
    "Nianzi Li"
  ],
  "comment": "50 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study the asymptotic behavior of Hitchin's hyperk\\\"ahler metric on the moduli space of rank two irregular Higgs bundles over $\\mathbb{C}P^1$, with all tame singularities (if any) assumed to be strongly parabolic. When the moduli space is four-dimensional, we show that Hitchin's metric is asymptotic to an ALG/ALG$^\\ast$ model metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-23T17:49:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07"
    ],
    "keywords": [
      "irregular higgs bundles",
      "moduli space",
      "asymptotic geometry",
      "projective line",
      "model metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}