2009/12/09 by Wei-Ping Li, Li, Weiping, Siye Wu +1
Mathematics · #18G40 #18G55 #55U35 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.0912.1775
openalex publication_date 2009/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the twisted cohomology groups of A_∞-algebras defined by twisting elements and their behavior under morphisms and homotopies using the bar construction. We define higher Massey products on the cohomology groups of general A_∞-algebras and establish the naturality under morphisms and their dependency on defining systems. The above constructions are also considered for C_∞-algebras. We construct a spectral sequence converging to the twisted cohomology groups an show that the higher differentials are given by the A_∞-algebraic Massey products.