eBook ISBN: | 978-1-4704-0197-9 |
Product Code: | MEMO/128/612.E |
List Price: | $50.00 |
MAA Member Price: | $45.00 |
AMS Member Price: | $30.00 |
eBook ISBN: | 978-1-4704-0197-9 |
Product Code: | MEMO/128/612.E |
List Price: | $50.00 |
MAA Member Price: | $45.00 |
AMS Member Price: | $30.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 128; 1997; 139 ppMSC: Primary 57; Secondary 14; 53
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. Text is in French.
ReadershipGraduate students and research mathematicians interested in three-manifolds and hyperbolic geometry.
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Table of Contents
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Chapters
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Introduction
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0. Préliminaires
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1. Torsion d’un orbifold
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2. Torsion d’une action
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3. Variété des caractères et paramétrages
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4. Torsion sur la variété des caractères
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5. Torsion d’une variété conique
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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. Text is in French.
Graduate students and research mathematicians interested in three-manifolds and hyperbolic geometry.
-
Chapters
-
Introduction
-
0. Préliminaires
-
1. Torsion d’un orbifold
-
2. Torsion d’une action
-
3. Variété des caractères et paramétrages
-
4. Torsion sur la variété des caractères
-
5. Torsion d’une variété conique