Universal First-Order Massey Product of a Prefactorization Algebra

Abstract

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 Rm and a compactification of linear Chern–Simons theory on R2×S1.