{
  "abstract": "We prove a rectifiability theorem for harmonic maps into DM-complexes. More specifically, if $u$ is a harmonic map from a $n$-dimensional Riemannian domain to an $N$-dimensional NPC DM-complex $Y$, the $k$-th singular stratum of the singular set is countably $k$-rectifiable for all $k \\in \\{0,...,n-2\\}.$ Our proof follows the framework in \\cite{dm}. This extends the rectifiability result for the singular set of harmonic maps into a $F$-connected complex in \\cite{dees} and generalizes the rectifiability theorem with respect the singular strata of harmonic maps into a $F$-connected complex in \\cite{bd}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00183",
  "author_total": 2,
  "authors": [
    {
      "name": "Ivy Stoner"
    },
    {
      "name": "Yitong Sun"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1tj8d7aycaqxn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00183",
  "fulltext_url": null,
  "id": "1tj8d7aycaqxn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00183",
  "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": "W7206182519",
  "pdf_url": "https://arxiv.org/pdf/2609.00183",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1tj8d7aycaqxn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2609.00183",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00183"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Rectifiability of the Singular Strata for Harmonic Maps to DM-Complexes",
  "title_text": "Rectifiability of the Singular Strata for Harmonic Maps to DM-Complexes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/1tj8d7aycaqxn",
  "venue": "arXiv",
  "versions": []
}