{
  "annotation_id": "986c6e79-dabb-48c8-b80f-6e3c8a76323b",
  "date_created": "2026-02-17T05:53:12.015000Z",
  "date_modified": "2026-02-17T05:53:12.015000Z",
  "file_hash": "178b74701babfa3bdad0095161d578a15610bd186dd2906e929ca68d9b3b4614",
  "private": false,
  "record": {
    "abstract": "We introduce configured group cohomology, a variant of locally smooth cohomology built from well-configured tuples and geometric fillings. This framework yields explicit locally smooth $\\R/\\Z$-valued $3$-cocycles of Chern--Simons type on diffeomorphism groups preserving geometric structures. As an application we show that, for several such groups, the third group homology contains a subgroup isomorphic to $\\Q/\\Z$.",
    "arxiv_id": "2601.07230",
    "authors": [
      "Takefumi Nosaka"
    ],
    "categories": [
      "math.GT",
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Configured locally smooth cohomology and $\\mathbb{Q}/\\mathbb{Z}$-torsion in $H_3$ of diffeomorphism groups",
    "url": "https://arxiv.org/abs/2601.07230",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "105fe25d-ecdd-475e-a129-18ebfb687eec",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}