{
  "abstract": "We use the Heegaard Floer homology cobordism maps to obstruct the existence of a symplectic structure on the Akbulut-Kirby Mazur manifolds whose boundary is a Brieskorn sphere $Y$ among $Σ(2,3,13),$ $Σ(2,5,7)$ and $Σ(3,4,5)$. Furthermore, we describe how they imply the existence of exotic pairs of simply connected 4-manifolds, with definite intersection form, whose boundary is a Brieskorn sphere bounding a Mazur manifold.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.15095",
  "author_total": 1,
  "authors": [
    {
      "name": "Alberto Cavallo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9q6tk5fj6s301.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.15095",
  "fulltext_url": null,
  "id": "9q6tk5fj6s301",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.15095",
  "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.GT"
    ],
    [
      "arxiv",
      "math.SG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7161284242",
  "pdf_url": "https://arxiv.org/pdf/2605.15095",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9q6tk5fj6s301.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:23Z",
      "native_id": "2605.15095",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.15095"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Mazur manifolds and symplectic structures",
  "title_text": "Mazur manifolds and symplectic structures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/9q6tk5fj6s301",
  "venue": "arXiv",
  "versions": []
}