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Global formality at theG_(∞) -level
Prépublication

Global formality at theG_(∞) -level

Damien Calaque et Michel Van den Bergh
24/10/2007

Résumé

Mathematics - Algebraic Geometry Mathematics - Quantum Algebra
Moscow Mathematical Journal 10 (2010), no. 1, 31--64 In this paper we prove that the sheaf of$\Lscr$ -poly-differential operators for a locally free Lie algebroid$\Lscr$is formal when viewed as a sheaf of$G_\infty$ -algebras via Tamarkin's morphism of DG-operads$G_\infty\r B_\infty$ . In an appendix we prove a strengthening of Halbout's globalization result for Tamarkin's local quasi-isomorphism.

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