Actions and irreducible representations of the mapping class group

Details Actions and irreducible representations of the mapping class group Actions and irreducible representations of the mapping class group

1999-05-28

arxiv.org/abs/math/9905182v1

Mathematics

Geometric Topology

14 pages, 1 figure, see http://math.u-bourgogne.fr/topolog/paris/index.htlm

Scientific paper

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.

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