Automorphisms of Two-generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane (Memoirs of the American Mathematical Society) - Softcover

Goldman, William; Mcshane, Greg; Stantchev, George; Tan, Ser Peow

Softcover

ISBN 10: 1470436140 ISBN 13: 9781470436148

Publisher: Amer Mathematical Society

Synopsis

The automorphisms of a two-generator free group $mathsf F2$ acting on the space of orientation-preserving isometric actions of $mathsf F2$ 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 $Gamma $ on $mathbb R 3$ by polynomial automorphisms preserving the cubic polynomial $ kappa Phi (x,y,z) := -x2 -y2 + z2 + x y z -2 $ and an area form on the level surfaces $kappa Phi-1(k)$.

Edition details

• Publisher: Amer Mathematical Society
• Language: English
• ISBN 10: 1470436140
• ISBN 13: 9781470436148
• Binding: Paperback
• Number of pages: 78