Actions and irreducible representations of the mapping class group

1999/05/28 by L. Paris, Paris, L.
Mathematics · #20F38 #22D10 #22D30 (Secondary) #57N05 (Primary) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT #msc:20F38 #msc:22D10 #msc:22D30 #msc:57N05

paper · pdf · doi:10.48550/arxiv.math/9905182

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

arxiv created 1999/05/28 · arxiv updated 2009/11/30

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.

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