{
  "abstract": "We prove an equivariant Landweber exact functor theorem for abelian compact Lie groups $G$. For a graded module $N$ over the $G$-equivariant Lazard ring $L_G$, we give necessary and sufficient algebraic conditions on $N$ for the functor \\[ X\\longmapsto (MU_G)_*(X)\\otimes_{L_G} N \\] to define a homology theory on the category $\\mathrm{Sp}^G$ of genuine $G$-spectra. Our criterion is obtained by varifying the Landweber exactness on each stratum indexed by a closed subgroup of $G$ and then gluing the local flatness data via Euler classes. As an application, we show that for any non-equivariant Landweber exact ring spectrum $E$, $MU_G\\wedge_{MU} E$ is equivariantly Landweber exact, thereby proving a conjecture of Wisdom.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17519",
  "author_total": 1,
  "authors": [
    {
      "name": "Yingxin Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6f6xsh8hme9bh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17519",
  "fulltext_url": null,
  "id": "6f6xsh8hme9bh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17519",
  "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": "W7213398054",
  "pdf_url": "https://arxiv.org/pdf/2609.17519",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6f6xsh8hme9bh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.17519",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17519"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "An Equivariant Landweber Exact Functor Theorem for Abelian Compact Lie Groups",
  "title_text": "An Equivariant Landweber Exact Functor Theorem for Abelian Compact Lie Groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/6f6xsh8hme9bh",
  "venue": "arXiv",
  "versions": []
}