{
  "abstract": "In this note, we give complete description of the Lempert left inverses of the royal and flat geodesics of the symmetrized bidisc. It is further proved that the collection of all such Lempert left inverses to the royal and flat geodesics is path connected. This, in particular, answers a question asked by Zwonek \\cite[~Remark 4.4, 4.5]{zwonek}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34355",
  "author_total": 1,
  "authors": [
    {
      "name": "Naveen Gupta"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f0pfs4fptv64v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34355",
  "fulltext_url": null,
  "id": "f0pfs4fptv64v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34355",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ],
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      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7223867319",
  "pdf_url": "https://arxiv.org/pdf/2610.34355",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f0pfs4fptv64v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34355",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34355"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Lempert left inverses of the Royal and Flat geodesics of the symmetrized bidisc",
  "title_text": "Lempert left inverses of the Royal and Flat geodesics of the symmetrized bidisc",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/f0pfs4fptv64v",
  "venue": "arXiv",
  "versions": []
}