Homotopy Prefactorization Algebras

Najib Idrissi, Eugene Rabinovich
Preprint v1, 34 pages.
Online on


We apply the theory of operadic Koszul duality to provide a cofibrant resolution of the colored operad whose algebras are prefactorization algebras on a fixed space MM. This allows us to describe a notion of prefactorization algebra up to homotopy as well as morphisms up to homotopy between such objects. We make explicit these notions for several special MM, such as certain finite topological spaces, or the real line.