{
  "abstract": "Let $\\mathrm{DY} = \\mathbb{1}/(η, ν) \\in \\mathrm{SH}(\\mathbb{C})$. We construct a $w_1$-self-map of periodicity 1 $w:Σ^{5,3}\\mathrm{DY} \\to \\mathrm{DY}.$ The cofiber is a realization of $DA(1)$, the double of the subalgebra $A(1)$ of the $\\mathbb{C}$-motivic Steenrod algebra $A$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22651",
  "author_total": 1,
  "authors": [
    {
      "name": "Jackson Morris"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9p7w98av9bcyb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22651",
  "fulltext_url": null,
  "id": "9p7w98av9bcyb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22651",
  "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.AT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7222938916",
  "pdf_url": "https://arxiv.org/pdf/2610.22651",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9p7w98av9bcyb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.22651",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22651"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A $\\mathbb{C}$-motivic $w_1$-self-map of periodicity 1",
  "title_text": "A ℂ-motivic w_1-self-map of periodicity 1",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/9p7w98av9bcyb",
  "venue": "arXiv",
  "versions": []
}