Kontsevich formality and PBW algebras

Abstract

This paper is based on the author's paper "Koszul duality in deformation quantization, I", with some improvements. In particular, an Introduction is added, and the convergence of the spectral sequence in Lemma 2.1 is rigorously proven. Some informal discussion in Section 1.5 is added.

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• Deformation quantization with generators and relations
• A note on the Koszul complex in deformation quantization
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• The explicit equivalence between the standard and the logarithmic star product for Lie algebras