Cannon-Thurston maps for surface groups

• 成果类型: Article
• 署名作者: Mj, Mahan
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.179.1.1
• 发表日期: 2014
• 页码: 1-80
• 关键词: hyperbolic dehn surgery; kleinian-groups; MANIFOLDS; geometry; CURVES; CLASSIFICATION; 3-manifolds; THEOREM; complex; bounds

摘要

We prove the existence of Cannon-Thurston maps for simply and doubly degenerate surface Kleinian groups. As a consequence we prove that connected limit sets of finitely generated Kleinian groups are locally connected.