{
  "annotation_id": "61a178d7-c158-4f04-9c82-5ad6356b499d",
  "date_created": "2026-02-17T05:53:11.874000Z",
  "date_modified": "2026-02-17T05:53:11.874000Z",
  "file_hash": "9f24030c6a3f247ea7cda0e9c01d6dfbbd5377ae015735382c9dbe322ab92d5a",
  "private": false,
  "record": {
    "abstract": "We study a weak form of formality for differential graded algebras, called $A_3$-formality, for the cohomology of pro-p Demushkin groups at odd primes p. We show that the differential graded $\\mathbb{F}_p$-algebras of continuous cochains of Demushkin groups with q-invariant not equal 3 are $A_3$-formal, whereas Demushkin groups with q-invariant 3 are not $A_3$-formal. We prove these results by an explicit computation of the Benson-Krause-Schwede canonical class in Hochschild cohomology.",
    "arxiv_id": "2601.07551",
    "authors": [
      "Ambrus P\u00e1l",
      "Gereon Quick"
    ],
    "categories": [
      "math.GR",
      "math.AT",
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "$A_3$-formality for Demushkin groups at odd primes",
    "url": "https://arxiv.org/abs/2601.07551",
    "version": "v2"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "81c27bcd-b5cb-4fa8-b73c-7dc9d7373d18",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}