Abstract
In their recent preprint [3] Kontsevich and Shoikhet have introduced two graph-complexes: the complex on the even (resp. odd) space in order to study the cohomology of the Lie algebra Ham 0 (resp. Ham 0 odd) of Hamiltonian vector fields vanishing at the origin on the infinite-dimensional even (resp. odd) space. We construct an isomorphism between those two graph-complexes, proving in particular that their cohomologies coincide. This solves a problem posed by Shoikhet. To cite this article: B. Lass, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 1–6
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