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- W4297730610 abstract "We will consider P-graph complexes, where P is a cyclic operad. P-graph complexes are natural generalizations of Kontsevich's graph complexes -- for P = the operad for associative algebras it is the complex of ribbon graphs, for P = the operad for commutative associative algebras, the complex of all graphs. We construct a `universal class' in the cohomology of the graph complex with coefficients in a theory. The Kontsevich-type invariant is then an evaluation, on a concrete cyclic algebra, of this class. We also explain some results of M. Penkava and A. Schwarz on the construction of an invariant from a cyclic deformation of a cyclic algebra. Our constructions are illustrated by a `toy model' of tree complexes." @default.
- W4297730610 created "2022-09-30" @default.
- W4297730610 creator A5072873700 @default.
- W4297730610 date "1998-01-21" @default.
- W4297730610 modified "2023-09-26" @default.
- W4297730610 title "Cyclic operads and homology of graph complexes" @default.
- W4297730610 doi "https://doi.org/10.48550/arxiv.math/9801095" @default.
- W4297730610 hasPublicationYear "1998" @default.
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