49 citations · 207 across the 40 of their papers we have counts for
46 papers
Generalised Joyal disks, -colored -operads, and higher Deligne conjecture
Boris Shoikhet
The classical Deligne conjecture (which by now has found several different proofs) says that the Hochschild cohomological complex of a small dg category over a field has a stru…
Twisted tensor product of dg categories and Kontsevich's Swiss Cheese conjecture
Michael Batanin, Boris Shoikhet
Let be a -algebra. The Kontsevich Swiss Cheese conjecture [K2] states that the homotopy category of actions of -algebras on has a final…
On comparison of the Tamarkin and the twisted tensor product 2-operads
Boris Shoikhet
There are known two different constructions of contractible dg 2-operads, providing a weak 2-category structure on the following dg 2-quiver of small dg 2-categories. Its vertices…
The category , derived modifications, and deformation theory of monoidal categories
Piergiorgio Panero, Boris Shoikhet
A complex , generalising the Davydov-Yetter complex of a monoidal category, is constructed. Here are -linear (dg) monoidal categories, $F,G\…
A closed model structure on the category of weakly unital dg categories, II
Piergiorgio Panero, Boris Shoikhet
In this paper, which is subsequent to our previous paper [PS] (but can be read independently from it), we continue our study of the closed model structure on the category $\mathrm{…
A proof of the contractibility of the 2-operad defined via the twisted tensor product
Boris Shoikhet
In our recent papers [Sh1,2], we introduced a {\it twisted tensor product} of dg categories, and provided, in terms of it, {\it a contractible 2-operad }, acting on th…