Cannon-Thurston Maps,i-bounded Geometry and a theorem of McMullen
Geometric Topology
2011-07-08 v3
Abstract
The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map. This is an exposition of a special case of the main result of arXiv:math/0607509.
Cite
@article{arxiv.math/0511104,
title = {Cannon-Thurston Maps,i-bounded Geometry and a theorem of McMullen},
author = {Mahan Mj},
journal= {arXiv preprint arXiv:math/0511104},
year = {2011}
}
Comments
v3: 32 pages 3 figures