Infinity Algebras and the Homology of Graph Complexes
| dc.creator | Penkava, Michael | |
| dc.date | 1996-01-18 | |
| dc.date.accessioned | 2026-07-07T09:16:48Z | |
| dc.date.available | 2026-07-07T09:16:48Z | |
| dc.description | An A-infinity algebra is a generalization of a associative algebra, and an L-infinity algebra is a generalization of a Lie algebra. In this paper, we show that an L-infinity algebra with an invariant inner product determines a cycle in the homology of the complex of metric ordinary graphs. Since the cyclic cohomology of a Lie algebra with an invariant inner product determines infinitesimal deformations of the Lie algebra into an L-infinity algebra with an invariant inner product, this construction shows that a cyclic cocycle of a Lie algebra determines a cycle in the homology of the graph complex. In this paper a simple proof of the corresponding result for A-infinity algebras, which was proved in a different manner in an earlier paper, is given. | |
| dc.description | 14 pages, amslatex document, 4 figures | |
| dc.identifier | https://arxiv.org/abs/q-alg/9601018 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9601018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153483 | |
| dc.subject | Quantum Algebra | |
| dc.title | Infinity Algebras and the Homology of Graph Complexes | |
| dc.type | text |