Global formality at the $G_\infty$-level

Details Global formality at the $G_\infty$-level Global formality at the $G_\infty$-level

2007-10-24

arxiv.org/abs/0710.4510v5

Moscow Mathematical Journal 10 (2010), no. 1, 31--64

Mathematics

Quantum Algebra

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Scientific paper

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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