49 citations · 207 across the 40 of their papers we have counts for
5 papers · 2 filters
Tsygan formality and Duflo formula
Boris Shoikhet
We prove the 0-(co)homology part of the conjecture on the cup-products on tangent cohomology in the Tsygan formality [Sh2]. We discuss its applications to the Duflo formula.
A proof of the Tsygan formality conjecture for chains
Boris Shoikhet
We extend the Kontsevich formality -morphism $\U\colon T^\ndot_\poly(\R^d)\to\D^\ndot_\poly(\R^d)$ to an -morphism of an -modules over $T^\ndot_\poly(…
Vanishing of the Kontsevich integrals of the wheels
Boris Shoikhet
We prove that the Kontsevich integrals (in the sense of the formality theorem) of all even wheels are equal to zero. We deduce this theorem from the result of \cite{FSh} on the def…
Deformation quantization with traces and vanishing of the wheels
Boris Feigin, Boris Shoikhet
The paper has been withdrawn because the result of math.QA/0002057 "Deformation quantization with traces" holds only for a constant volume form.
Deformation quantization with traces
Giovanni Felder, Boris Shoikhet
In the present paper we prove a statement closely related to the cyclic formality conjecture. In particular, we prove that for a divergence-free Poisson bivector field on R^d, the…