{
  "abstract": "For an $\\mathbb{E}_{\\infty}$-ring spectrum $R$ of chromatic height $k$, the trace method and the chromatic redshift imply that $T^n$-fixed point of $n$-fold iterated topological Hochschild homology of $R$ has chromatic height at most $k+n$. In this paper, we compute these heights for $H\\mathbb{F}_p$, $H\\mathbb{Z}$ and the $p$-complete connective image-of-$J$ spectrum $j_p$ for all primes and $n\\geq1$, which are exactly $n-1$, $n$ and $n+1$, respectively. Our method is based on properties of Wilson spaces and relative topological Hochschild homology over $\\mathrm{MU}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33534",
  "author_total": 1,
  "authors": [
    {
      "name": "Jiaxi Zha"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a0d36253fykq3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33534",
  "fulltext_url": null,
  "id": "a0d36253fykq3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33534",
  "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",
      "math.AT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7223966824",
  "pdf_url": "https://arxiv.org/pdf/2610.33534",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a0d36253fykq3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.33534",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33534"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Some chromatic height computations for homotopy fixed points of iterated topological Hochschild homology",
  "title_text": "Some chromatic height computations for homotopy fixed points of iterated topological Hochschild homology",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/a0d36253fykq3",
  "venue": "arXiv",
  "versions": []
}