English

Global formality at the $G_\infty$-level

Quantum Algebra 2010-10-06 v5 Algebraic Geometry

Abstract

In this paper we prove that the sheaf of \Lscr\Lscr-poly-differential operators for a locally free Lie algebroid \Lscr\Lscr is formal when viewed as a sheaf of GG_\infty-algebras via Tamarkin's morphism of DG-operads GB˚G_\infty\r B_\infty. In an appendix we prove a strengthening of Halbout's globalization result for Tamarkin's local quasi-isomorphism.

Cite

@article{arxiv.0710.4510,
  title  = {Global formality at the $G_\infty$-level},
  author = {Damien Calaque and Michel Van den Bergh},
  journal= {arXiv preprint arXiv:0710.4510},
  year   = {2010}
}

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