3 papers
math.QA2022
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\…
math.CT2020
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{…
math.KT2019
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…