2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/203911We show the universal form of the boundary term (Kounterterm series) which regularizes the Euclidean action and background-independent definition of conserved quantities for any Lovelock gravity theory with AdS asymptotics (including Einstein-Hilbert and Einstein-Gauss-Bonnet). We discuss on the connection of this procedure to the existence of topological invariants and Chern-Simons forms in the corresponding dimensions.9 pages, no figures. Contribution to the proceedings of 3rd RTN Workshop: Constituents, Fundamental Forces and Symmetries of the Universe, Valencia, Spain, 1-5 Oct 2007High Energy Physics - Theorytext