{
  "abstract": "We introduce various classical, foundational results on the regularity theory of harmonic maps, with focuses on the energy minimising harmonic maps. Topics include inner and outer variations, the monotonicity identity, the $\\varepsilon$-regularity theorem, blow-ups and tangent maps, and the dimension estimate and stratification of singular sets. We also discuss the analogous theory for stationary harmonic maps and mention some significant recent developments.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23497",
  "author_total": 1,
  "authors": [
    {
      "name": "Siran Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bpxmz96revnrj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23497",
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  "landing_url": "https://arxiv.org/abs/2609.23497",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
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      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  "openalex": "W7214031487",
  "pdf_url": "https://arxiv.org/pdf/2609.23497",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bpxmz96revnrj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.23497",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23497"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A brief introduction to the regularity theory of minimising harmonic maps",
  "title_text": "A brief introduction to the regularity theory of minimising harmonic maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/bpxmz96revnrj",
  "venue": "arXiv",
  "versions": []
}