2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59258We define a norm on homology of punctured tori equipped with a complete hyperbolic metric of finite volume and use it to find asymptotics on the growth of the number of simple geodesics of bounded length.9ppGeometric TopologyDifferential GeometryDynamical SystemsNumber Theory57M50; 11J06; 57N05text