English

Actions and irreducible representations of the mapping class group

Geometric Topology 2007-05-23 v1 Group Theory

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.

Keywords

Cite

@article{arxiv.math/9905182,
  title  = {Actions and irreducible representations of the mapping class group},
  author = {L. Paris},
  journal= {arXiv preprint arXiv:math/9905182},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T18:03:12.544Z