Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane
Auteur : William Goldman, Greg McShane, George Stantchev, Ser Peow Tan
Date de publication : 2019-06-10
Éditeur : American Mathematical Soc.
Nombre de pages : 78
Résumé du livre
The automorphisms of a two-generator free group F acting on the space of orientation-preserving isometric actions of F 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, which reduces to an action of a group on by polynomial automorphisms preserving the cubic polynomial
and an area form on the level surfaces.