Torsion de Reidemeister pour les variétés hyperboliques
Author(s)
Bibliographic Information
Torsion de Reidemeister pour les variétés hyperboliques
(Memoirs of the American Mathematical Society, no. 612)
American Mathematical Society, 1997
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Note
"July 1997, volume 128, number 612 (end of volume)"
Includes bibliographical references (p. 137-139)
Description and Table of Contents
Description
In this work, the author defines and studies a Reidemeister torsion for hyperbolic three-dimensional manifolds of finite volume. This torsion is an invariant obtained from the combinatorial and the hyperbolic structures of the manifold, and it is studied for closed manifolds and orbifolds, cusped and cone manifolds. The author includes several examples and studies the main properties, involving many aspects of hyperbolic three-manifolds. In particular, it is shown that the torsion of hyperbolic cone manifolds tends to zero for Euclidean degenerations. This work features the text in French.
Table of Contents
Introduction Preliminaries Torsion d'un orbifold Torsion d'une action Variete des caracteres et parametrages Torsion sur la variete des caracteres Torsion d'une variete conique Bibliographie.
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