Limits of limit sets II: Geometrically Infinite Groups
Geometric Topology
2017-03-29 v1
Abstract
We show that for a strongly convergent sequence of purely loxodromic finitely generated Kleinian groups with incompressible ends, Cannon-Thurston maps, viewed as maps from a fixed base limit set to the Riemann sphere, converge uniformly. For algebraically convergent sequences we show that there exist examples where even pointwise convergence of Cannon-Thurston maps fails.
Cite
@article{arxiv.1306.3081,
title = {Limits of limit sets II: Geometrically Infinite Groups},
author = {Mahan Mj and Caroline Series},
journal= {arXiv preprint arXiv:1306.3081},
year = {2017}
}
Comments
43 pages, 3 figures