A brief survey of the deformation theory of Kleinian groups

James W. Anderson

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A brief survey of the deformation theory of Kleinian groups

James W. Anderson

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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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BibTeX RIS

James W. Anderson. 1998-10-23. A brief survey of the deformation theory of Kleinian groups. https://arxiv.org/abs/math/9810186

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