{
  "abstract": "We show that the ECH capacities of every closed symplectic 4-manifold are infinite. We also give the first examples of symplectic 4-manifolds whose alternative ECH capacities are infinite. We verify the ECH Weyl law holds with bounded subleading asymptotics for the alternative ECH capacities of any closed symplectic 4-manifold with $b_2^+=1$ or any smooth domain therewithin.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.19042",
  "author_total": 1,
  "authors": [
    {
      "name": "Gabriel Beiner"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/efq097dfmgc85.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.19042",
  "fulltext_url": null,
  "id": "efq097dfmgc85",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.19042",
  "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.SG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7203891984",
  "pdf_url": "https://arxiv.org/pdf/2608.19042",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/efq097dfmgc85.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2608.19042",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.19042"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The ECH and alternative ECH capacities of closed symplectic 4-manifolds",
  "title_text": "The ECH and alternative ECH capacities of closed symplectic 4-manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/efq097dfmgc85",
  "venue": "arXiv",
  "versions": []
}