Twisted tensor product of dg categories and Kontsevich's Swiss Cheese conjecture

Michael Batanin, Boris Shoikhet

Let $A$ be a $1$-algebra. The Kontsevich Swiss Cheese conjecture [K2] states that the homotopy category $\mathrm{Ho}(\mathrm{Act}(A))$ of actions of $2$-algebras on $A$ has a final…