Title 



Deformation quantization with traces


Author 





Abstract 



In this Letter we prove a statement closely related to the cyclic formality conjecture. In particular, we prove that for a constant volume form Ω and a Poisson bivector field π on R d such that divΩπ=0, the Kontsevich star product with the harmonic angle function is cyclic, i.e. ∫Rd (f*g)·h·Ω=∫ ∫Rd (g*h)·f·Ω for any three functions f,g,h on Rd (for which the integrals make sense). We also prove a globalization of this theorem in the case of arbitrary Poisson manifolds and an arbitrary volume form, and prove a generalization of the ConnesFlatoSternheimer conjecture on closed star products in the Poisson case.  

Language 



English


Source (journal) 



Letters in mathematical physics.  Dordrecht 

Publication 



Dordrecht : 2000


ISSN 



03779017


Volume/pages 



53:1(2000), p. 7586


ISI 



000165478300007


Full text (Publisher's DOI) 


 

Full text (publisher's version  intranet only) 


 
