2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215940For the oriented 3-dimensional handlebody constructed from a 3-ball by attaching g 1-handles, it is shown that the natural surjection from the group of orientation preserving diffeomorphisms of it to the mapping class group of it has no section when g is at least 6.3 pagesGeometric Topology57M60, 57N10Realization of the mapping class group of handlebody by diffeomorphismstext