2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55814In the quantum Teichmuller theory, based on Penner coordinates, the mapping class groups of punctured surfaces are represented projectively. The case of a genus three surface with one puncture is worked out explicitly. The projective factor is calculated. It is given by the exponential of the Liouville central charge.11 pages, 8 built in figures, latex2eHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyGeometric Topologytext