Cannon-Thurston Maps for Surface Groups
Geometric Topology
2013-11-19 v5
Abstract
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.
Cite
@article{arxiv.math/0607509,
title = {Cannon-Thurston Maps for Surface Groups},
author = {Mahan Mj},
journal= {arXiv preprint arXiv:math/0607509},
year = {2013}
}
Comments
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