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Torsion de Reidemeister pour les Variétés Hyperboliques
 
Joan Porti Université Paul Sabatier, Toulouse, France
Torsion de Reidemeister pour les Varietes Hyperboliques
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
Torsion de Reidemeister pour les Varietes Hyperboliques
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Torsion de Reidemeister pour les Variétés Hyperboliques
Joan Porti Université Paul Sabatier, Toulouse, France
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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1281997; 139 pp
    MSC: 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.

    Readership

    Graduate students and research mathematicians interested in three-manifolds and hyperbolic geometry.

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1281997; 139 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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