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math.QA2019
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…
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…