14 citations · 34 across the 5 of their papers we have counts for
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On the Duflo formula for -algebras and Q-manifolds
Boris Shoikhet
We prove a direct analogue of the classical Duflo formula in the case of -algebras. We conjecture an analogous formula in the case of an arbitrary Q-manifold. When is…
On the -Formality conjecture
Boris Shoikhet
It is proved that the associative differential graded algebra of (polynomial) polyvector fields on a vector space (may be infinite- dimensional) is quasi-isomorphic to the correspo…
Integration of the Lifting formulas and the cyclic homology of the algebras of differential operators
Boris Shoikhet
We integrate the Lifting cocycles ([Sh1], [Sh2]) on the Lie algebra $\Dif_n$ of holomorphic differential operators on an -dimensional complex ve…
Lifting formulas II
Boris Shoikhet
In the present paper we generalize the lifting formulas from [Sh] and obtain the formula for the (2n+2l-1)-cocycle on the LIe algebra of differential operators on a n-dimensional s…