2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97580We discuss the Chern-Simons theory in three-dimensional curved space-time in the vielbein formalism. Due to the additional presence of the local Lorentz symmetry, beside the diffeomorphisms, we will include a local gravitational supersymmetry (superdiffeomorphisms and super-Lorentz transformations), which allows us to show the perturbative finiteness at all orders.19 pages in LaTeX, without figuresHigh Energy Physics - Theorytext