Tamarkin's proof of Kontsevich formality theorem

2000/03/09 by Vladimir Hinich, Hinich, Vladimir · 2 citations
Mathematics · #FOS: Mathematics #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #math.KT #math.QA

paper · pdf · doi:10.48550/arxiv.math/0003052

20 pages

arxiv created 2000/03/09 · arxiv updated 2009/11/30

Abstract

In 1998 D. Tamarkin announced a proof of Kontsevich formality theorem based on the existence of structure of homotopy Gerstenhaber algebra in the Hochschild cochains of an associative algebra. In this note we give a detailed explanation of Tamarkin's result.

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• Some examples of DG-Lie formality transfer
• Tamarkin's construction is equivariant with respect to the action of the Grothendieck-Teichmueller group

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