  We 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.
