Automorphisms of two-generator free groups and spaces of isometric actions on the byperbolic plane /

The automorphisms of a two-generator free group \mathsf F_2 acting on the space of orientation-preserving isometric actions of \mathsf F_2 on hyperbolic 3-space defines a dynamical system. Those actions which preserve a hyperbolic plane but not an orientation on that plane is an invariant subsystem,...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Goldman, William Mark (Author), McShane, Greg, 1966- (Author), Stantchev, George (Author), Tau, Ser Peow (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, RI : American Mathematical Society, [2019]
Series:Memoirs of the American Mathematical Society ; no. 1249.
Subjects:
Free groups.
Automorphisms.
Group theory.
Isometrics (Mathematics)
Hyperbolic spaces.
Groupes libres.
Automorphismes.
Théorie des groupes.
Isométrie (Mathématiques)
Espaces hyperboliques.
Teoría de grupos
Isometría (Matemáticas)
Ecuaciones diferenciales hiperbólicas
Automorfismos
Automorphisms
Free groups
Group theory
Hyperbolic spaces
Online Access:Texto completo
Table of Contents:
  • 1. Introduction
  • 2. The rank two free group and its automorphisms
  • 3. Character varieties and their automorphisms
  • 4. Topology of the imaginary commutator trace
  • 5. Generalized Fricke spaces
  • 6. Bowditch theory
  • 7. Imaginary trace labelings
  • 8. Imaginary characters with k>2
  • 9. Imaginary characters with k<2
  • 10. Imaginary characters with k=2

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