{
  "abstract": "We construct a sequence of stationary weak Yang-Mills connections on the trivial vector bundle $B^5\\times\\mathbb{R}^{15}$ with structure group $\\operatorname{SO}(15)$ whose weak limit is a nonstationary weak Yang-Mills connection. Motivated by the stationarity question arising in Tian's work on Yang-Mills compactness, our result establishes the failure of weak closure for stationary weak Yang-Mills connections with an isolated singularity. It also provides a Yang-Mills analogue of the phenomenon exhibited by Ding, Li and Li for harmonic maps.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23338",
  "author_total": 3,
  "authors": [
    {
      "name": "Xiaoli Han"
    },
    {
      "name": "Jiayu Li"
    },
    {
      "name": "Yang Wen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d0fd00nje0q35.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23338",
  "fulltext_url": null,
  "id": "d0fd00nje0q35",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23338",
  "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.DG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7214022982",
  "pdf_url": "https://arxiv.org/pdf/2609.23338",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d0fd00nje0q35.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.23338",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23338"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Nonclosure of stationary Yang-Mills connections under weak convergence",
  "title_text": "Nonclosure of stationary Yang-Mills connections under weak convergence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/d0fd00nje0q35",
  "venue": "arXiv",
  "versions": []
}