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Automorphisms of two-generator free groups and spaces of isometric actions on the byperbolic plane /
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,...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
[2019]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1249. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 049 | |a UAMI | ||
| 100 | 1 | |a Goldman, William Mark, |e author. | |
| 245 | 1 | 0 | |a Automorphisms of two-generator free groups and spaces of isometric actions on the byperbolic plane / |c William Goldman, Greg McShane, George Stantchev, Ser Peow Tan. |
| 264 | 1 | |a Providence, RI : |b American Mathematical Society, |c [2019] | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource (92 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society ; |v number 1249 | |
| 500 | |a Keywords: character variety, free group, outer automorphism group, hyperbolic surface, nonorientable surface, hyperbolic surface, conical singularity, Nielsen transformation, ergodic equivalence relation, Fricke space, mapping class group, tree, Markoff map | ||
| 500 | |a "May 2019, volume 259, number 1249 (sixth of 8 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 77-78). | ||
| 588 | 0 | |a Online resource; title from PDF title page (viewed August 27, 2019). | |
| 505 | 2 | |a 1. Introduction -- 2. The rank two free group and its automorphisms -- 3. Character varieties and their automorphisms -- 4. Topology of the imaginary commutator trace -- 5. Generalized Fricke spaces -- 6. Bowditch theory -- 7. Imaginary trace labelings -- 8. Imaginary characters with k>2 -- 9. Imaginary characters with k<2 -- 10. Imaginary characters with k=2 | |
| 520 | |a 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). | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Free groups. | |
| 650 | 0 | |a Automorphisms. | |
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Isometrics (Mathematics) | |
| 650 | 0 | |a Hyperbolic spaces. | |
| 650 | 6 | |a Groupes libres. | |
| 650 | 6 | |a Automorphismes. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 6 | |a Isométrie (Mathématiques) | |
| 650 | 6 | |a Espaces hyperboliques. | |
| 650 | 7 | |a Teoría de grupos |2 embne | |
| 650 | 0 | 7 | |a Isometría (Matemáticas) |2 embucm |
| 650 | 0 | 7 | |a Ecuaciones diferenciales hiperbólicas |2 embucm |
| 650 | 0 | 7 | |a Automorfismos |2 embucm |
| 650 | 7 | |a Automorphisms |2 fast | |
| 650 | 7 | |a Free groups |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 7 | |a Hyperbolic spaces |2 fast | |
| 650 | 7 | |a Isometrics (Mathematics) |2 fast | |
| 700 | 1 | |a McShane, Greg, |d 1966- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjJQgwPvRBWKqmd4KdvGpP | |
| 700 | 1 | |a Stantchev, George, |e author. | |
| 700 | 1 | |a Tau, Ser Peow, |e author. | |
| 758 | |i has work: |a Automorphisms of two-generator free groups and spaces of isometric actions on the byperbolic plane (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGgb9Hwp9yQpm8b4hMF6PP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Goldman, William Mark. |t Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane. |d Providence : American Mathematical Society, ©2019 |z 9781470436148 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1249. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5788259 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445269 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5788259 | ||
| 938 | |a EBSCOhost |b EBSC |n 2158039 | ||
| 994 | |a 92 |b IZTAP | ||