On injective homomorphisms between Teichmuller modular groups I

• 成果类型: Article
• 署名作者: Ivanov, NV; McCarthy, JD
• 署名单位: Michigan State University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s002220050292
• 发表日期: 1999
• 页码: 425-486
• 关键词: surface

摘要

In this paper and its sequel, we prove that injective homomorphisms between Teichmuller modular groups of compact orientable surfaces are necessarily isomorphisms, if an appropriately measured size of the surfaces in question differs by at most one. In particular, we establish the co-Hopfian property for modular groups of surfaces of positive genus.