Title 



Hochschild cohomology of the Weyl algebra and traces in deformation quantization
 
Author 



 
Abstract 



We give a formula for a cocycle generating the Hochschild cohomology of the Weyl algebra with coefficients in its dual. It is given by an integral over the configuration space of ordered points on a circle. Using this formula and a noncommutative version of formal geometry, we obtain an explicit expression for the canonical trace in deformation quantization of symplectic manifolds.   
Language 



English
 
Source (journal) 



Duke mathematical journal.  Durham, N.C.  
Publication 



Durham, N.C. : 2005
 
ISSN 



00127094
 
Volume/pages 



127:3(2005), p. 487516
 
ISI 



000237151400003
 
Full text (Publishers DOI) 


  
