Convergence and divergence of Kleinian surface groups
Geometric Topology
2015-06-12 v2
Abstract
We characterize sequences of Kleinian surface groups with convergent subsequences in terms of the asymptotic behavior of the ending invariants of the associated hyperbolic 3-manifolds. Asymptotic behavior of end invariants in a convergent sequence predicts the parabolic locus of the algebraic limit as well as how the algebraic limit wraps within the geometric limit under the natural locally isometric covering map.
Cite
@article{arxiv.1407.4439,
title = {Convergence and divergence of Kleinian surface groups},
author = {Jeffrey Brock and Kenneth Bromberg and Richard Canary and Cyril Lecuire},
journal= {arXiv preprint arXiv:1407.4439},
year = {2015}
}