Title 



A proof of the Tsygan formality conjecture for chains
 
Author 


  
Abstract 



We extend the Kontsevich formality L∞morphism to an L∞morphism of L∞modules over . The construction of the map is given in Kontsevichtype integrals. The conjecture that such an L∞morphism exists is due to Boris Tsygan (Formality Conjecture for Chains, math. QA/9904132). As an application, we obtain an explicit formula for isomorphism is the Kontsevich deformation quantization of the algebra A by a Poisson bivector field, and {,} is the Poisson bracket). We also formulate a conjecture extending the Kontsevich theorem on cupproducts to this context. The conjecture implies a generalization of the Duflo formula, and many other things.   
Language 



English
 
Source (journal) 



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



New York, N.Y. : 2003
 
ISSN 



00018708
 
Volume/pages 



179:1(2003), p. 737
 
ISI 



000185640500002
 
Full text (Publishers DOI) 


  
Full text (publishers version  intranet only) 


  
