{
  "abstract": "We consider the cone Yang-Mills functional recently introduced by Tseng and Zhou. This functional generalizes the Yang-Mills functional by coupling it to a closed 2-form which can represent a geometric structure of interest, e.g. a symplectic form or Ricci form. While the perspective of dimensional reduction is not always possible, we show that a cone Yang-Mills field is always locally the dimensional reduction of a pure Yang-Mills field. We then prove a monotonicity formula and use the dimensional reduction framework to prove an $ε$-regularity theorem in two ways. Finally, we prove a compactness theorem for sequences of cone Yang-Mills connections with bounded action and $L^p$-bounded Higgs fields. Away from a singular set of codimension at least 4 and after suitable bundle identifications, the sequence subconverges in the $C^\\infty_{\\operatorname{loc}}$-topology.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17472",
  "author_total": 1,
  "authors": [
    {
      "name": "Jonathan Delgado"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/er4690j3w8cfb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17472",
  "fulltext_url": null,
  "id": "er4690j3w8cfb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17472",
  "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.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7221809942",
  "pdf_url": "https://arxiv.org/pdf/2610.17472",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/er4690j3w8cfb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.17472",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17472"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Compactness of Cone Yang-Mills Connections",
  "title_text": "Compactness of Cone Yang-Mills Connections",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/er4690j3w8cfb",
  "venue": "arXiv",
  "versions": []
}