Affine automorphism groups of surfaces of infinite type

被引：0

作者：

Chamanara, R ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

IN THE TRADITION OF AHLFORS AND BERS, III | 2004年 / 355卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Examples of translation surfaces with infinite genus and finite area are constructed. It is shown that the automorphism groups of these surfaces are non-elementary Fuchsian groups of the second kind. In certain cases the automorphism group is infinitely generated. This gives an explicit construction of Teichmuller disks in the Teichmuller space of a surface of infinite genus X, stabilized by large sub-groups of the mapping class group of X.

引用

页码：123 / 145

页数：23

共 11 条

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