Groups of Circle Diffeomorphisms.
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| Author / Creator: | Navas, Andrés. |
|---|---|
| Imprint: | Chicago, IL : University of Chicago Press, 2011. |
| Description: | 1 online resource (310 pages) |
| Language: | English |
| Series: | Chicago lectures in mathematics series Chicago lectures in mathematics. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11123167 |
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| 100 | 1 | |a Navas, Andrés. | |
| 245 | 1 | 0 | |a Groups of Circle Diffeomorphisms. |
| 260 | |a Chicago, IL : |b University of Chicago Press, |c 2011. | ||
| 300 | |a 1 online resource (310 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Chicago lectures in mathematics series | |
| 505 | 0 | |a Introduction; Acknowledgments; Notation and General Definitions; 1. Examples of Group Actions on the Circle; 1.1 The Group of Rotations; 1.2 The Group of Translations and the Affine Group; 1.3 The Group PSL; 1.4 Actions of Lie Groups; 1.5 Thompson's Groups; 2. Dynamics of Groups of Homeomorphisms; 2.1 Minimal Invariant Sets; 2.2 Some Combinatorial Results; 2.3 Invariant Measures and Free Groups; 3. Dynamics of Groups of Diffeomorphisms; 3.1 Denjoy's Theorem; 3.2 Sacksteder's Theorem; 3.3 Duminy's First Theorem; 3.4 Duminy's Second Theorem; 3.5 Two Open Problems. | |
| 505 | 8 | |a 3.6 On the Smoothness of the Conjugacy between Groups of Diffeomorphisms4. Structure and Rigidity via Dynamical Methods; 4.1 Abelian Groups of Diffeomorphisms; 4.2 Nilpotent Groups of Diffeomorphisms; 4.3 Polycyclic Groups of Diffeomorphisms; 4.4 Solvable Groups of Diffeomorphisms; 4.5 On the Smooth Actions of Amenable Groups; 5. Rigidity via Cohomological Methods; 5.1 Thurston's Stability Theorem; 5.2 Rigidity for Groups with Kazhdan's Property (T); 5.3 Superrigidity for Higher-Rank Lattice Actions; Appendix A: Some Basic Concepts in Group Theory. | |
| 505 | 8 | |a Appendix B: Invariant Measures and Amenable GroupsReferences; Index. | |
| 520 | |a In recent years scholars from a variety of branches of mathematics have made several significant developments in the theory of group actions. Groups of Circle Diffeomorphisms systematically explores group actions on the simplest closed manifold, the circle. As the group of circle diffeomorphisms is an important subject in modern mathematics, this book will be of interest to those doing research in group theory, dynamical systems, low dimensional geometry and topology, and foliation theory. The book is mostly self-contained and also includes numerous complementary exercises, making it an excell. | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 273-286) and index. | ||
| 650 | 0 | |a Diffeomorphisms. |0 http://id.loc.gov/authorities/subjects/sh85037876 | |
| 650 | 0 | |a Group actions (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85057471 | |
| 650 | 0 | |a Manifolds (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85080549 | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Diffeomorphisms. |2 fast |0 (OCoLC)fst00893404 | |
| 650 | 7 | |a Group actions (Mathematics) |2 fast |0 (OCoLC)fst00948368 | |
| 650 | 7 | |a Manifolds (Mathematics) |2 fast |0 (OCoLC)fst01007726 | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Navas, Andreś. | |
| 776 | 0 | 8 | |i Print version: |a Navas, Andrés. |t Groups of Circle Diffeomorphisms. |d Chicago, IL : University of Chicago Press, ©2011 |z 9780226569512 |
| 830 | 0 | |a Chicago lectures in mathematics. |0 http://id.loc.gov/authorities/names/n83742704 | |
| 856 | 4 | 0 | |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=412494 |y eBooks on EBSCOhost |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/uchicago/detail.action?docID=836888 |y ProQuest Ebook Central |
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| 928 | |t Library of Congress classification |a QA613.N393 2011 |l Online |c UC-FullText |u https://ebookcentral.proquest.com/lib/uchicago/detail.action?docID=836888 |z ProQuest Ebook Central |g ebooks |i 12512448 | ||