Formality theorems for Hochschild complexes and their applications

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.

Submitted to proceedings of Poisson 2008

References in corpus (3)

• Integrating L-infinity algebras
• Automorphisms of the Weyl algebra
• Effective Batalin--Vilkovisky theories, equivariant configuration spaces and cyclic chains

Cited by in corpus (5)

• From Atiyah Classes to Homotopy Leibniz Algebras
• Formality and Kontsevich--Duflo type theorems for Lie pairs
• Matrix Factorisation of Morse-Bott functions
• Differential calculus of Hochschild pairs for infinity-categories
• The noncommutative Poisson bracket and the deformation of the family algebras