Erratum to: "A Proof of Tsygan's Formality Conjecture for an Arbitrary Smooth Manifold"

TL;DR

This paper corrects an error in a previous proof related to Tsygan's Formality Conjecture, ensuring the original results remain valid, with a new proof provided for a key lemma.

Contribution

It provides a corrected proof of a crucial lemma in the original work on Tsygan's Formality Conjecture, maintaining the validity of the original results.

Findings

Corrected proof of lemma 1 in the original paper

Validation that the correction does not alter the main results

Clarification of the proof structure for the lemma

Abstract

Boris 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.