Structure and Regularity of Group Actions on One-Manifolds

Language: English

Published by Springer International Publishing Nov 2021, 2021

3030890058 / 9783030890056

Series: Book 1 of 1 - Springer Monographs in Mathematics

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 340 pp. Englisch.

Seller Inventory # 9783030890056

Title
Structure and Regularity of Group Actions on One-Manifolds
Author
Thomas Koberda
Publisher
Springer International Publishing Nov 2021
Publication year
2021
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3030890058
ISBN 13
9783030890056
Item weight
676 grams
Dimensions
241x160x24 mm
Series
Book 1 of 1: Springer Monographs in Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

Item5 to 15 business days5 to 15 business days
First itemUS$ 26.71US$ 26.71
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BuchWeltWeit Ludwig Meier e.K.

Germany