Title 



Vanishing of the Kontsevich integrals of the wheels


Author 


 

Abstract 



We prove that the Kontsevich integrals (in the sense of the formality theorem) of all even wheels are equal to zero. These integrals appear in the approach to the Duflo formula via the formality theorem. The result means that for any finitedimensional Lie algebra g, and for invariant polynomials f, g ∈ [S ·(g)]g one has f · g = f * g, where * is the Kontsevich star product, corresponding to the KirillovPoisson structure on g*. We deduce this theorem form the result contained in math.QA/0010321 on the deformation quantization with traces.  

Language 



English


Source (journal) 



Letters in mathematical physics.  Dordrecht 

Publication 



Dordrecht : 2001


ISSN 



03779017


Volume/pages 



56:2(2001), p. 141149


ISI 



000169864900004


Full text (Publisher's DOI) 


 

Full text (publisher's version  intranet only) 


 
