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Formality Theorems for Hochschild Complexes and Their Applications

  • Author(s): Dolgushev, Vasiliy
  • Tamarkin, Dmitry
  • Tsygan, Boris
  • et al.
Abstract

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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