Universal First-Order Massey Product of a Prefactorization Algebra

This paper studies the universal first-order Massey product of a prefactorization algebra, which encodes higher algebraic operations on the cohomology. Explicit computations of these structures are carried out in the locally constant case, with applications to factorization envelopes on \(\mathbb {R}^m\) ${\mathbb{R}}^m$ and a compactification of linear Chern–Simons theory on \(\mathbb {R}^2\times \mathbb {S}^1\) ${\mathbb{R}}^2\times {\mathbb{S}}^1$ .