2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129502Based on projective representations of smooth Deligne cohomology groups, we introduce an analogue of the space of conformal blocks to compact oriented (4k+2)-dimensional Riemannian manifolds with boundary. For the standard (4k+2)-dimensional disk, we compute the space concretely to prove that its dimension is finite.9 pages, LaTeX 2eDifferential Geometrytext