{
  "annotation_id": "6f95214b-974e-4bd8-ac6d-4462aad3914d",
  "date_created": "2026-03-02T18:01:28.702000Z",
  "date_modified": "2026-03-02T18:01:28.702000Z",
  "file_hash": "acc9f5271932bf2357ca7e302186b5aa0ce1c493468e4454acd2086f0e94d404",
  "private": false,
  "record": {
    "abstract": "In this paper we develop the theory of finite-type invariants for\nhomologically nontrivial 3-manifolds. We construct an infinite-dimensional\naffine space with a hypersurface in it corresponding to manifolds with Morse\nsingularities. Connected components of the complement of this hypersurface\ncorrespond to homeomorphism type of spin 3-manifolds. This suggests the natural\naxiomatics of Vassiliev finite-type invariants for arbitrary closed\n3-manifolds. An example of an invariant of order 1 is given.",
    "arxiv_id": "q-alg/9705008",
    "authors": [
      "Nadya Shirokova"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "The space of 3-manifolds and Vassiliev finite-type invariants",
    "url": "https://arxiv.org/abs/q-alg/9705008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "32d8b498-6297-43f2-a449-f85ee056908a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}