曲面群的 Cannon-Thurston 映射
几何拓扑
2013-11-19 v5
摘要
我们证明了单退化与双退化的曲面 Kleinian 群存在 Cannon-Thurston 映射。作为推论，我们证明了有限生成 Kleinian 群的连通极限集是局部连通的。
引用
@article{arxiv.math/0607509,
title = {Cannon-Thurston Maps for Surface Groups},
author = {Mahan Mj},
journal= {arXiv preprint arXiv:math/0607509},
year = {2013}
}
备注
v3: Completely rewritten following referee's comments, combining the main result of arxiv:math.GT/0512539 with the first part of the earlier version. Second part incorporated in 1002.0996, v4: 55 pages, 5 figures. Many expository changes following referee's comments v5: Final version 66 pgs, 7 figures. To appear in Annals of Math