Ege FUJIKAWA, Hiroshige SHIGA and Masahiko TANIGUCHI

Discreteness of the mapping class group for Riemann surfaces of infinite analytic type


We consider Riemann surfaces of infinite type and their reduced Teichmuller spaces. The reduced Teichmuller space admits the action of the reduced mapping class group. Generally, the action is not discrete while it is faithful. We give sufficient conditions for the discreteness of the action in terms of the geometry of Riemann surfaces.

submission: December 22, 1999
revised: October 1, 2000
revised to 0106