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arXiv · 0710.4510

Global formality at the $G_\infty$-level

Damien Calaque·Michel Van den Bergh
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Abstract

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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Damien Calaque, Michel Van den Bergh. 2009-06-24. Global formality at the $G_\infty$-level. https://arxiv.org/abs/0710.4510

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