{
  "abstract": "We prove multiplicity results for geometrically distinct brake Reeb orbits on real prequantization $S^1$-bundles under geometric and dynamical assumptions. The lower bounds are expressed in terms of the sum of the mod-two Betti numbers of the real locus of the base. Our proofs combine Lagrangian Rabinowitz Floer homology with the index iteration theory for brake orbits. As an application, we obtain a sharp lower bound for the number of brake geodesics on Finsler spheres with pinched flag curvature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29917",
  "author_total": 2,
  "authors": [
    {
      "name": "Peng Liu"
    },
    {
      "name": "Dong Xie"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/539p95y5mxbdn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29917",
  "fulltext_url": null,
  "id": "539p95y5mxbdn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29917",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.SG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
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  ],
  "openalex": "W7223198574",
  "pdf_url": "https://arxiv.org/pdf/2610.29917",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/539p95y5mxbdn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.29917",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29917"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Multiplicity of brake Reeb orbits on real prequantization bundles",
  "title_text": "Multiplicity of brake Reeb orbits on real prequantization bundles",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/539p95y5mxbdn",
  "venue": "arXiv",
  "versions": []
}