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Tamarkin's proof of Kontsevich formality theorem

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arxiv math/0003052 v1 pith:ZLJ73ESQ submitted 2000-03-09 math.QA math.KT

Vladimir Hinich This is my paper · ORCID
classification math.QAmath.KT
keywords tamarkinalgebraformalitykontsevichprooftheoremannouncedassociative
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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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Cited by 2 Pith papers

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  1. Some examples of DG-Lie formality transfer

    math.RA 2026-01 accept novelty 6.0 of 10

    A DG-Lie formality-transfer theorem is extended with a new backward direction and applied to universal enveloping algebras and finite quotients of Kodaira-Spencer algebras.

  2. M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds

    math.QA 2019-08 conditional novelty 6.0 of 10

    For every d at least 2, the full Kontsevich graph complex maps injectively into the Chevalley-Eilenberg complex of the n=d-1 Schouten algebra, so its zeroth cohomology acts via L-infinity automorphisms on graded sympl...

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