49 citations · 207 across the 40 of their papers we have counts for
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A Quillen model structure on the category of Kontsevich-Soibelman weakly unital dg categories
Piergiorgio Panero, Boris Shoikhet
In this paper, we study weakly unital dg categories as they were defined by Kontsevich and Soibelman [KS, Sect.4]. We construct a cofibrantly generated Quillen model structure on t…
On the Evrard fibrant replacement of a functor
Boris Shoikhet
We provide a more economical refined version of Evrard's categorical cocylinder factorization of a functor [Ev1,2]. We show that any functor between small categories can be factore…
Monoidal cofibrant resolutions of dg algebras
Boris Shoikhet
Let be a field of any characteristic. In this paper, we construct a functorial cofibrant resolution for the -graded dg algebras over $…
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…
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…