2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148307We present results for the BRST cohomology of $\cW[\bfg]$ minimal models coupled to $\cW[\bfg]$ gravity, as well as scalar fields coupled to $\cW[\bfg]$ gravity. In the latter case we explore an intricate relation to the (twisted) $\bfg$ cohomology of a product of two twisted Fock modules.14 pages, Typeset in LaTeX (with amssym.def input), query removed such that ps-file can be automatically generatedHigh Energy Physics - Theorytext