Subset currents on surfaces

Subset currents on surfaces

Subset currents on hyperbolic groups were introduced by Kapovich and Nagnibeda as a generalization of geodesic currents on hyperbolic groups, which were introduced by Bonahon and have been successfully studied in the case of the fundamental group 1() of a compact hyperbolic surface . Kapovich and Na...

Description complète

Détails bibliographiques
Auteur principal : Sasaki Dounnu (Auteur)
Format : Livre
Langue : anglais
Titre complet : Subset currents on surfaces / Dounnu Sasaki
Publié : Providence (R.I.) : American Mathematical Society , C 2022
Description matérielle : 1 vol. (V-165 p.)
Collection : Memoirs of the American Mathematical Society ; 1368
Sujets :
Groupes fuchsiens
Riemann, Surfaces de
Groupes hyperboliques
Théorie ergodique
  • Chapter 1. Introduction
  • Chapter 2. Subset currents on hyperbolic groups
  • Chapter 3. Volume functionals on Kleinian groups
  • Chapter 4. Subgroups, inclusion maps and finite index extension
  • Chapter 5. Intersection number
  • Chapter 6. Intersection functional on subset currents
  • Chapter 7. Projection from subset currents onto geodesic currents
  • Chapter 8. Denseness property of rational subset currents
  • Bibliography
  • Index