Formality theorems for Hochschild complexes and their applications

Mathematics – K-Theory and Homology

Scientific paper

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Submitted to proceedings of Poisson 2008

Scientific paper

We give a popular introduction to formality theorems for Hochschild complexes
and their applications. We review some of the recent results and prove that the
truncated Hochschild cochain complex of a polynomial algebra is non-formal.

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