Formality of Chain Operad of Small Squares

Mathematics – Quantum Algebra

Scientific paper

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6 pages

Scientific paper

We prove that the chain operad of small squares is formal. This fact
clarifies situation with the proof of M. Kontsevich formality theorem in the
paper of the author math.QA/9803025, revised Sept 24. The formality of the
operad follows quite easily from the existence of an associator.

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