On the action of the mapping class group for Riemann surfaces of infinite type Dedicated to Professor Hiroki Sato on his 60th birthday

Ege FUJIKAWA; Hiroshige SHIGA; Masahiko TANIGUCHI

doi:10.2969/jmsj/1190905449

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

On the action of the mapping class group for Riemann surfaces of infinite type

Dedicated to Professor Hiroki Sato on his 60th birthday

Ege FUJIKAWA, Hiroshige SHIGA, Masahiko TANIGUCHI

著者情報

キーワード: Teichmüller space, mapping class group, hyperbolic geometry

ジャーナルフリー

2004 年 56 巻 4 号 p. 1069-1086

DOI https://doi.org/10.2969/jmsj/1190905449

詳細

抄録

We consider Riemann surfaces of infinite type and their reduced Teichmüller 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.