Structure and Regularity of Group Actions on One-manifolds
Language: English
Published by Springer International Publishing, 2021
- Hardcover
- New
Seller: moluna, Greven, Germanymoluna
AbeBooks seller since July 9, 2020
Condition: New
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Add to basketItem description from seller
Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This is the first monograph dedicated solely to regularities of group actionsProvides a broad overview of the subject from classical beginnings to areas of active current researchProvides a self-contained, accessible treatment of many topic.
Seller Inventory # 506747995
- Title
- Structure and Regularity of Group Actions on One-manifolds
- Author
- Sang-hyun Kim|Thomas Koberda
- Publisher
- Springer International Publishing
- Publication year
- 2021
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3030890058
- ISBN 13
- 9783030890056
- Series
- Book 1 of 1: Springer Monographs in Mathematics
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work of Denjoy and Herman, up through recent advances. Beginning with an investigation of regularity phenomena for single diffeomorphisms, the book goes on to describes a circle of ideas surrounding Filipkiewicz's Theorem, which recovers the smooth structure of a manifold from its full diffeomorphism group. Topics covered include the simplicity of homeomorphism groups, differentiability of continuous Lie group actions, smooth conjugation of diffeomorphism groups, and the reconstruction of spaces from group actions. Various classical and modern tools are developed for controlling the dynamics of general finitely generated group actions on one-dimensional manifolds, subject to regularity bounds, including material on Thompson's group F, nilpotent groups, right-angled Artin groups, chain groups, finitely generated groups with prescribed critical regularities, and applications to foliation theory and the study of mapping class groups.
The book will be of interest to researchers in geometric group theory.
"Synopsis" may belong to another edition of this title.
About the Author
Thomas Koberda is an Associate Professor at the University of Virginia. He received his PhD in 2012 from Harvard University, under the direction of Curtis T. McMullen. He held an NSF postdoctoral fellowship and was a Gibbs Assistant Professor at Yale University from 2012 to 2015, before joining the faculty at the University of Virginia in 2015, where he was appointed Associate Professor in 2019. In 2017, he was named an Alfred P. Sloan Foundation Research Fellow and was awarded the Kamil Duszenko Prize for his work in geometric group theory.
"About the title" may belong to another edition of this title.
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