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.
Document type :
Journal articles

Cited literature [7 references]

https://hal.archives-ouvertes.fr/hal-00092521
Contributor : Mohsen Masmoudi <>
Submitted on : Monday, September 18, 2006 - 9:37:14 AM
Last modification on : Monday, June 11, 2018 - 4:42:21 PM
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• HAL Id : hal-00092521, version 1

Citation

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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