49 citations · 207 across the 40 of their papers we have counts for
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math.QA1999
Gerstenhaber bracket on double Hochschild complex and deformation theory
Boris Shoikhet
We construct a differential and a Lie bracket on the space\linebreak $\{\Hom (A^{\otimes k}, A^{\otimes l})\},_{k,l\ge 0}$ for any associative algebra . The restriction of this…
math.QA1999★ 14 cited
On the cyclic Formality conjecture
Boris Shoikhet
We conjecture an explicit formula for a cyclic analog of the Formality -morphism [K]. We prove that its first Taylor component, the cyclic Hochschild-Kostant-Rosenberg…
math.QA1999★ 10 cited
On the Kontsevich and the Campbell-Baker-Hausdorff deformation quantizations of a linear Poisson structure
Boris Shoikhet
For the Kirillov-Poisson structure on the vector space $\g^*$, where $\g$ is a finite-dimensional Lie algebra, it is known at least two canonical deformations quantization of this…