Formality theorems for hochschild complexes and their applications

Vasiliy Dolgushev*, Dmitry Tamarkin, Boris Tsygan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)103-136
Number of pages34
JournalLetters in Mathematical Physics
Issue number1
StatePublished - Nov 2009


  • Deformation quantization
  • Hochschild complexes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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