Formality theorems for Hochschild complexes and their applications

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.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2009-01
Hauptverfasser:	Dolgushev, V A, Tamarkin, D E, Tsygan, B L
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - K-Theory and Homology Mathematics - Quantum Algebra Polynomials Theorems
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.0901.0069