{
  "annotation_id": "ac89a858-f64e-4055-8d0d-351a97f4e0bd",
  "date_created": "2026-02-17T05:53:23.070000Z",
  "date_modified": "2026-02-17T05:53:23.070000Z",
  "file_hash": "689f4180327a7b3abdf8eb38b9dc87429d7593c3afa003c157ae7cba78088b10",
  "private": false,
  "record": {
    "abstract": "Given a complex semisimple Lie group $G$, we introduce the notion of an Epstein surface associated to a $G$-oper. These surfaces generalize Epstein\u0027s classical construction for $G=PGL_2 (\\mathbb{C})$. As an application, we provide a criterion that ensures that the holonomy of the oper is $\\Delta-$Anosov. Finally, we discuss how the developing map of the oper interacts with domains of discontinuity of the holonomy (whenever Anosov) and the transversality properties it satisfies. Along the way, we provide a quick review of opers that we hope serves as a self-contained introduction.",
    "arxiv_id": "2601.09936",
    "authors": [
      "Joaqu\u00edn Lema"
    ],
    "categories": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Epstein surfaces for $G-$opers",
    "url": "https://arxiv.org/abs/2601.09936",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b295e0a2-3962-4a96-954d-b61b61735469",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}