{
  "annotation_id": "8569974c-f6c8-4a87-b8ac-9add34aec375",
  "date_created": "2026-03-02T18:01:27.950000Z",
  "date_modified": "2026-03-02T18:01:27.950000Z",
  "file_hash": "6c5043e162a5409103d755b4545152ed4617f7293d37e333b6f61ca0dec9d5ce",
  "private": false,
  "record": {
    "abstract": "We apply the theory of finite-type invariants of homology 3-spheres to\ninvestigate the structure of the Torelli group. We construct natural cocycles\nin the Torelli group and show that the lower central series quotients of the\nTorelli group map onto a vector space of trivalent graphs. We also have\nanalogous results for two other natural subgroups of the mapping class group.",
    "arxiv_id": "q-alg/9609027",
    "authors": [
      "Stavros Garoufalidis",
      "Jerome Levine"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Finite type 3-manifold invariants and the structure of the Torelli",
    "url": "https://arxiv.org/abs/q-alg/9609027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e923c43b-1bf6-44a4-b2f1-184b1ed5da44",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}