CHEVALLEY COHOMOLOGY FOR KONTSEVICH'S GRAPHS

Didier Arnal (1) , Angela Gammella (2) , Mohsen Masmoudi (3)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 LMAM - Laboratoire de Mathématiques et Applications de Metz
3 IECN - Institut Élie Cartan de Nancy

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.

Domaines: Physique mathématique [math-ph]

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