{
  "annotation_id": "20ff970f-c564-4158-95ce-8f13c029c236",
  "date_created": "2026-03-02T18:01:27.547000Z",
  "date_modified": "2026-03-02T18:01:27.547000Z",
  "file_hash": "37b40f245348416a01431b15d972967792f3aba6913ccf8cdd63ab72fb9fd1de",
  "private": false,
  "record": {
    "abstract": "An A-infinity algebra is a generalization of a associative algebra, and an\nL-infinity algebra is a generalization of a Lie algebra. In this paper, we show\nthat an L-infinity algebra with an invariant inner product determines a cycle\nin the homology of the complex of metric ordinary graphs. Since the cyclic\ncohomology of a Lie algebra with an invariant inner product determines\ninfinitesimal deformations of the Lie algebra into an L-infinity algebra with\nan invariant inner product, this construction shows that a cyclic cocycle of a\nLie algebra determines a cycle in the homology of the graph complex. In this\npaper a simple proof of the corresponding result for A-infinity algebras, which\nwas proved in a different manner in an earlier paper, is given.",
    "arxiv_id": "q-alg/9601018",
    "authors": [
      "Michael Penkava"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Infinity Algebras and the Homology of Graph Complexes",
    "url": "https://arxiv.org/abs/q-alg/9601018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1f0ad86e-e109-4f63-9c9a-9a4d697094f3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}