{
  "abstract": "We study degree $1$ minimisers $u: (Σ,g) \\to S^2$ for a Baby-Skyrme model with a Sacks-Uhlenbeck regularisation term $E^α(u) = \\frac{1}{2} \\int_Σ (1+\\vert \\nabla u \\vert^2)^{α+1} -1 dv_g$ and establish convergence of degree $1$ minimisers to a simple bubble tree as $α\\to 0$. We also obtain a new no-neck result for the classical Sacks-Uhlenbeck energy $E^α$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37457",
  "author_total": 1,
  "authors": [
    {
      "name": "Sebastian Woodward"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3jbrxnjsrgfc3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37457",
  "fulltext_url": null,
  "id": "3jbrxnjsrgfc3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37457",
  "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-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.DG"
    ],
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      "arxiv",
      "math.MP"
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      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  "openalex": "W7224105805",
  "pdf_url": "https://arxiv.org/pdf/2610.37457",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3jbrxnjsrgfc3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.37457",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37457"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Bubble Tree Convergence for Minimisers of a Regularised Baby-Skyrme Model",
  "title_text": "Bubble Tree Convergence for Minimisers of a Regularised Baby-Skyrme Model",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:14Z",
  "url": "https://research.draconitic.com/paper/3jbrxnjsrgfc3",
  "venue": "arXiv",
  "versions": []
}