Cannon-Thurston Maps for Surface Groups I: Amalgamation Geometry and Split Geometry
Geometric Topology
2016-02-03 v5
Abstract
We introduce the notion of manifolds of amalgamation geometry and its generalization, split geometry. We show that the limit set of any surface group of split geometry is locally connected, by constructing a natural Cannon-Thurston map.
Cite
@article{arxiv.math/0512539,
title = {Cannon-Thurston Maps for Surface Groups I: Amalgamation Geometry and Split Geometry},
author = {Mahan Mj},
journal= {arXiv preprint arXiv:math/0512539},
year = {2016}
}
Comments
v 5: 73 pages, 7 figures. References updated. Subsection on partial electrocution modified. Introductory comments added