A brief survey of the deformation theory of Kleinian groups
Geometric Topology
2016-09-07 v1
Abstract
We give a brief overview of the current state of the study of the deformation theory of Kleinian groups. The topics covered include the definition of the deformation space of a Kleinian group and of several important subspaces; a discussion of the parametrization by topological data of the components of the closure of the deformation space; the relationship between algebraic and geometric limits of sequences of Kleinian groups; and the behavior of several geometrically and analytically interesting functions on the deformation space.
Keywords
Cite
@article{arxiv.math/9810186,
title = {A brief survey of the deformation theory of Kleinian groups},
author = {James W. Anderson},
journal= {arXiv preprint arXiv:math/9810186},
year = {2016}
}
Comments
27 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper2.abs.html