Formality theorem and bialgebra deformations

On vérifie la formalité de l’algèbre exterieure de $V\oplus V^{*}$ munie du grand crochet considérée comme une algèbre de Poisson graduée. On discute la pertinence de ce resultat pour les déformations de bigèbres d’une algèbre symétrique de $V$ considérée comme une bigèbre.

In this paper we prove formality of the exterior algebra on $V\oplus V^{*}$ endowed with the big bracket considered as a graded Poisson algebra. We also discuss connection of this result to bialgebra deformations of the symmetric algebra of $V$ considered as bialgebra.

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