2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125090Boris Shoikhet noticed that the proof of lemma 1 in section 2.3 of math.QA/0504420 contains an error. In this note I give a correct proof of this lemma which was suggested to me by Dmitry Tamarkin. The correction does not change the results of math.QA/0504420.10 pages, no figuresQuantum AlgebraCategory TheoryErratum to: "A Proof of Tsygan's Formality Conjecture for an Arbitrary Smooth Manifold"text