Fundamental domains in Teichmuller space


John D. McCarthy
Department of Mathematics
Michigan State University
E. Lansing, MI 48824-1027

Athanase Papadopoulos
Department of Mathematics
Institut Louis Pasteur
Strasbourg, France

September 19, 1994



Abstract:

The authors introduce a natural construction of fundamental domains for actions of subgroups of the mapping class group acting on Teichmuller space and investigate their properties. These domains are analogous to the classical Dirichlet polyhedra associated to the actions of discrete isometry groups on hyperbolic spaces. Z‹‰.


This paper has been published: Annales Academiae Scientiarum Fennicae, Mathematika, Volumen 21, 1996, 151-166.


Contact: mccarthy@math.msu.edu

Last Revised 7/9/99