C_pq-Injective Diagrams and a Combination Theorem for Minimal Models

2025/06/22 by Thandar, Soumyadip
#16E45 #18G10 #55P62 #55P91 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.17998

Abstract

We study diagrams of commutative differential graded algebras (DGAs) over the orbit category \sO_G in the context of equivariant rational homotopy theory. For G = C_pq with p, q distinct primes, we give necessary conditions for injectivity. We prove a combination-type result: the equivariant wedge of injective diagrams over O_Cp and O_Cq with retract structure maps yields an injective diagram over O_C_pq with a level-wise minimal model. As an application, we construct examples of C_pq-formal spaces.

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