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(Ebook) Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane by William Goldman; Greg McShane; George Stantchev ISBN 9781470452537, 1470452537

  • SKU: EBN-51653578
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Instant download (eBook) Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane after payment.
Authors:William Goldman; Greg McShane; George Stantchev
Pages:92 pages.
Year:2019
Editon:1
Publisher:American Mathematical Society
Language:english
File Size:4.28 MB
Format:pdf
ISBNS:9781470452537, 1470452537
Categories: Ebooks

Product desciption

(Ebook) Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane by William Goldman; Greg McShane; George Stantchev ISBN 9781470452537, 1470452537

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