The University of Southampton
University of Southampton Institutional Repository

A brief survey of the deformation theory of Kleinian groups

A brief survey of the deformation theory of Kleinian groups
A brief survey of the deformation theory of Kleinian groups
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.
kleinian group, deformation space, hyperbolic manifold, algebraic limits, geometric limits, strong limits
23-49
Geometry & Topology Publications
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
Rivin, Igor
Rourke, Colin
Series, Caroline
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
Rivin, Igor
Rourke, Colin
Series, Caroline

Anderson, James W. (1998) A brief survey of the deformation theory of Kleinian groups. In, Rivin, Igor, Rourke, Colin and Series, Caroline (eds.) The Epstein Birthday Schrift. (Geometry & Topology Monographs, , (doi:10.2140/gtm.1998.1.23), 1) Coventry, UK. Geometry & Topology Publications, pp. 23-49. (doi:10.2140/gtm.1998.1.23).

Record type: Book Section

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.

Full text not available from this repository.

More information

Published date: 1998
Additional Information: ISSN 1464-8989
Keywords: kleinian group, deformation space, hyperbolic manifold, algebraic limits, geometric limits, strong limits

Identifiers

Local EPrints ID: 29870
URI: https://eprints.soton.ac.uk/id/eprint/29870
PURE UUID: 7ff8c827-f231-4b59-98d2-353fdd23c4ef
ORCID for James W. Anderson: ORCID iD orcid.org/0000-0002-7849-144X

Catalogue record

Date deposited: 17 May 2007
Last modified: 06 Jun 2018 13:03

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×