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
1998
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
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, 1)
Coventry, UK.
Geometry & Topology Publications, .
(doi:10.2140/gtm.1998.1.23).
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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.
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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: http://eprints.soton.ac.uk/id/eprint/29870
PURE UUID: 7ff8c827-f231-4b59-98d2-353fdd23c4ef
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Date deposited: 17 May 2007
Last modified: 16 Mar 2024 02:52
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Contributors
Editor:
Igor Rivin
Editor:
Colin Rourke
Editor:
Caroline Series
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