49 citations · 207 across the 40 of their papers we have counts for
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math.KT2007★ 8 cited
Kontsevich formality and PBW algebras
Boris Shoikhet
This paper is based on the author's paper "Koszul duality in deformation quantization, I", with some improvements. In particular, an Introduction is added, and the convergence of t…
math.QA2007
Koszul duality in deformation quantization, I
Boris Shoikhet
Let be a polynomial Poisson bivector on a finite-dimensional vector space over . Then Kontsevich [K97] gives a formula for a quantization of the alge…
math.KT2007★ 7 cited
An explicit construction of the Quillen homotopical category of dg Lie algebras
Boris Shoikhet
Let $\g_1$ and $\g_2$ be two dg Lie algebras, then it is well-known that the morphisms from $\g_1$ to $\g_2$ are in 1-1 correspondence to the solutions of the Maurer-Car…