CHEVALLEY COHOMOLOGY FOR KONTSEVICH'S GRAPHS

Abstract : We introduce the Chevalley cohomology for the graded Lie algebra of polyvector fields on $R^d$. This cohomology occurs naturally in the problem of construction and classification of fomalities on the sapce $ R^d$. Considering only graphs formalities, we define the Chevalley cohomology directly on spaces of graphs. We obtain some simple expressions for the Chevalley coboundary operator and we give examples and applications.
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Submitted on : Monday, September 18, 2006 - 9:37:14 AM
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  • HAL Id : hal-00092521, version 1

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Didier Arnal, Angela Gammella, Mohsen Masmoudi. CHEVALLEY COHOMOLOGY FOR KONTSEVICH'S GRAPHS. Pacific Journal of Mathematics, 2005, 218, pp.201-239. ⟨hal-00092521⟩

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