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Preprints, Working Papers, ... Year : 2023

Homotopy Prefactorization Algebras

Abstract

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 $M$. 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 $M$, such as certain finite topological spaces, or the real line.

Dates and versions

hal-04082483 , version 1 (26-04-2023)

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Najib Idrissi, Eugene Rabinovich. Homotopy Prefactorization Algebras. 2023. ⟨hal-04082483⟩
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