Global formality at the $G_\infty$-level

Damien Calaque (1, 2) , Michel van Den Bergh

1 ICJ - Institut Camille Jordan
2 D-MATH - Department of Mathematics [ETH Zurich]

In this paper we prove that the sheaf of L-poly-differential operators for a locally free Lie algebroid L is formal when viewed as a sheaf of $G_\infty$-algebras via Tamarkin's morphism of DG-operads $G_\infty\r B_\infty$.

Domaines: Algèbres quantiques [math.QA]; Géométrie algébrique [math.AG]

Damien Calaque, Michel van Den Bergh. Global formality at the $G_\infty$-level. Moscow Mathematical Journal, 2010, dedicated to Pierre Deligne on the occasion of his 65th birthday, 10 (1), pp.31-64. ⟨hal-00184885⟩