2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197499We discuss the isometry group structure of three-dimensional black holes and Chern-Simons invariants. Aspects of the holographic principle relevant to black hole geometry are analyzed.11 pages, AMSTeX, Contribution to the Fifth Alexander Friedmann International Seminar on Gravitation and CosmologyHigh Energy Physics - TheoryHyperbolic Topological Invariants and the Black Hole Geometrytext