2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52059The aim of this note is to propose an interpretation for the full (non-chiral) correlation functions of the Liouville conformal field theory within the context of the quantization of spaces of Riemann surfaces.16p, Contribution to the Proceedings of the ICMP 2003, Lisbon; v2: A reference addedHigh Energy Physics - TheoryFrom Liouville Theory to the Quantum Geometry of Riemann Surfacestext