{
  "abstract": "The least regular norm of a factorization of antipodal differences through sign differences on \\((\\mathbb Z/m\\mathbb Z)^n\\) is \\(m/2\\) when \\(4\\mid m\\). On these tori, when \\(2\\sqrt n\\le m\\le4\\sqrt n\\), normalized divergence equations admit selections with pointwise norm bound \\(3/2\\), while the least linear lifting norm and global Lipschitz selection constant equal \\(\\sqrt n/2\\). Higher-moment lifting bounds follow from a quoted sharp \\(L_1\\) inequality.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32589",
  "author_total": 1,
  "authors": [
    {
      "name": "Yue Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9h0by6apn8en9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32589",
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  "id": "9h0by6apn8en9",
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  "landing_url": "https://arxiv.org/abs/2609.32589",
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  "native_subjects": [
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      "2610|Advanced Banach Space Theory"
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  "openalex": "W7214769261",
  "pdf_url": "https://arxiv.org/pdf/2609.32589",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9h0by6apn8en9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2609.32589",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32589"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
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  ],
  "title": "Divergence Liftings and Regular Factorizations for Metric Cotype",
  "title_text": "Divergence Liftings and Regular Factorizations for Metric Cotype",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/9h0by6apn8en9",
  "venue": "arXiv",
  "versions": []
}