2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185582It is shown that the N-th power of the light-cone evolution operator of 2N-periodic quantum discrete Liouville model can be identified with the Dehn twist operator in quantum Teichmuller theory.5 pages, 2 figuresHigh Energy Physics - TheoryStrongly Coupled Quantum Discrete Liouville Theory. II: Geometric Interpretation of the Evolution Operatortext