Automorphisms of Two-generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane - Brossura

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

Brossura

ISBN 10: 1470436140 ISBN 13: 9781470436148

Casa editrice: Amer Mathematical Society, 2019

Riassunto

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, 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) := -x^{2} -y^{2} + z^{2} + x y z -2 $ and an area form on the level surfaces $\kappa _{\Phi}^{-1}(k)$.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 1470436140
• ISBN 13: 9781470436148
• Rilegatura: Copertina flessibile
• Numero di pagine: 78
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile