2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/211960We construct topological string and topological membrane actions with a nontrivial 3-form flux H in arbitrary dimensions. These models realize Bianchi identities with a nontrivial H flux as consistency conditions. Especially, we discuss the models with a generalized SU(3) structure, a generalized $G_2$ structure and a generalized $Spin(7)$ structure. These models are constructed from the AKSZ formulation of Batalin-Vilkovisky formalism.22 pages: references addedHigh Energy Physics - Theorytext