Actions and irreducible representations of the mapping class group

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78575We prove in this paper that the action of the mapping class group on the complex of curves has noncommensurable stabilizers. Following a method due to Burger and de la Harpe, this action leads to constructions of irreducible unitary representations of the mapping class group.14 pages, 1 figure, see http://math.u-bourgogne.fr/topolog/paris/index.htlmGeometric TopologyGroup Theory57N05 (Primary), 20F38, 22D10, 22D30 (Secondary)Actions and irreducible representations of the mapping class grouptext