{
  "abstract": "We formulate a source-adapted Chern--Connes description of M5-brane magnetic charge in physically motivated noncommutative and quotient linking sectors. The starting point is the local codimension-five geometry of an M5-brane source: the magnetic charge is measured on a four-dimensional link. In the smooth local model the link is the ordinary four-sphere, and the pairing reduces to the standard flux integral of the M-theory four-form field strength. The construction is motivated by the published even-codimensional Noncommutative Foliation Invariant (NCFI for short), where Connes' transverse fundamental cyclic cocycle is paired with an even transverse-geometric \\(K\\)-class. For an M5-brane the relevant codimension is odd, so the required odd \\(K\\)-class is supplied instead by the boundary map of the source/linking extension. Noncommutative or groupoid algebras are used only when they arise from physical mechanisms: Matrix/M-theory compactification on noncommutative tori, reduction to D-branes in background \\(B\\)-fields, large \\(C\\)-field M5 limits, or quotient/orbifold source links. The result is a topological charge formula, not a derivation of the full M5-brane dynamics or of the complete M-theory action.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31674",
  "author_total": 1,
  "authors": [
    {
      "name": "Ioannis P. Zois"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cae31tmv2yf45.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31674",
  "fulltext_url": null,
  "id": "cae31tmv2yf45",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31674",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.KT"
    ],
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      "arxiv",
      "math.MP"
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      "3106|Black Holes and Theoretical Physics"
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  "openalex": "W7223685442",
  "pdf_url": "https://arxiv.org/pdf/2610.31674",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cae31tmv2yf45.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.31674",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31674"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.KT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "M5-brane source charges, Chern--Connes pairings and noncommutative compactifications",
  "title_text": "M5-brane source charges, Chern--Connes pairings and noncommutative compactifications",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/cae31tmv2yf45",
  "venue": "arXiv",
  "versions": []
}