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Automorphisms Of Twogenerator Free Groups And Spaces Of Isometric Actions On The Hyperbolic Plane 1st Edition William Goldman Greg Mcshane George Stantchev

SKU: BELL-51653578

$ 31.00 ~~$ 45.00~~ (-31%)

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Automorphisms Of Twogenerator Free Groups And Spaces Of Isometric Actions On The Hyperbolic Plane 1st Edition William Goldman Greg Mcshane George Stantchev instant download after payment.

Publisher: American Mathematical Society

File Extension: PDF

File size: 4.28 MB

Pages: 92

Author: William Goldman; Greg McShane; George Stantchev

ISBN: 9781470452537, 1470452537

Language: English

Year: 2019

Edition: 1

Product desciption

Automorphisms Of Twogenerator Free Groups And Spaces Of Isometric Actions On The Hyperbolic Plane 1st Edition William Goldman Greg Mcshane George Stantchev by William Goldman; Greg Mcshane; George Stantchev 9781470452537, 1470452537 instant download after payment.

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 $\kappa _{\Phi}^{-1}(k)$.