A characterization of hyperbolic rational maps

• 成果类型: Article
• 署名作者: Cui, Guizhen; Tan, Lei
• 署名单位: Universite d'Angers; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0281-8
• 发表日期: 2011
• 页码: 451-516
• 关键词: dynamics

摘要

We give a topological characterization of rational maps with disconnected Julia sets. Our results extend Thurston's characterization of post-critically finite rational maps. In place of iteration on Teichmuller space, we use quasiconformal surgery and Thurston's original result.