{
  "abstract": "This paper proves a generalisation of Coleman's isomorphism (between norm compatible cyclotomic units and a group of invertible power series) to various cohomology theories evaluated on proper regular $p$-adic formal schemes, for future applications to Iwasawa theory. This generalisation is an immediate consequence of a description, as a cyclotomic synthetic spectrum, of the limit over transfer maps as one goes up the cyclotomic tower of motivically filtered $\\mathrm{THH}$. This crucially uses a calculation of $\\mathrm{THH}(\\mathbb{Z}_p[ζ_{p^n}])$ due to Devalapurkar--Raksit as well as a calculation of the free loop transfer due to Schlichtkrull. Along the way, we construct transfer maps for various cohomology theories along finite locally free regular maps, using some elements of $\\mathbb{P}^1$-stable motivic homotopy theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05252",
  "author_total": 1,
  "authors": [
    {
      "name": "Kush Singhal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/04t04g4ekk033.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05252",
  "fulltext_url": null,
  "id": "04t04g4ekk033",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05252",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.AT"
    ],
    [
      "arxiv",
      "math.KT"
    ],
    [
      "arxiv",
      "math.NT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.05252",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/04t04g4ekk033.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2609.05252",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05252"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Coleman Isomorphisms in Syntomic Cohomology and $\\mathrm{THH}$",
  "title_text": "Coleman Isomorphisms in Syntomic Cohomology and THH",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/04t04g4ekk033",
  "venue": "arXiv",
  "versions": []
}