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Formality theorems for hochschild complexes and their applications

Dolgushev, V
; 
Tamarkin, D
; 
Tsygan, B
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Journal Article
Date
2009-11-01
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Subject
Hochschild complexes
 deformation quantization
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http://hdl.handle.net/20.500.12613/6067
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Dolgushev2009_Article_FormalityTheoremsForHochschild.pdf
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DOI
10.1007/s11005-009-0350-3
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. © 2009 The Author(s).
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Springer Science and Business Media LLC
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Letters in Mathematical Physics
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