Actions and irreducible representations of the mapping class group
arXiv:math/9905182
Abstract
We 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.htlm