Title 



Koszul duality in deformation quantization and Tamarkin's approach to Kontsevich formality
 
Author 


  
Abstract 



Let α be a quadratic Poisson bivector on a vector space V . Then one can also consider α as a quadratic Poisson bivector on the vector space V∗[1]V∗[1]. Fixed a universal deformation quantization (prediction of some complex weights to all Kontsevich graphs [12]), we have deformation quantization of the both algebras S(V∗)S(V∗) and Λ(V)Λ(V). These are graded quadratic algebras, and therefore Koszul algebras. We prove that for some universal deformation quantization, independent on α, these two algebras are Koszul dual. We characterize some deformation quantizations for which this theorem is true in the framework of the Tamarkin's theory [19].   
Language 



English
 
Source (journal) 



Advances in mathematics.  New York, N.Y.  
Publication 



New York, N.Y. : 2010
 
ISSN 



00018708
 
Volume/pages 



224:3(2010), p. 731771
 
ISI 



000277229200001
 
Full text (Publishers DOI) 


  
Full text (publishers version  intranet only) 


  
