Description: Structure and Regularity of Group Actions on One-manifolds, Hardcover by Kim, Sang-hyun; Koberda, Thomas, ISBN 3030890058, ISBN-13 9783030890056, Like New Used, Free shipping in the US
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, th goes on to describes a circle of ideas surrounding Filipkiewiczs 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 Thompsons 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.
Th will be of interest to researchers in geometric group theory.
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Book Title: Structure and Regularity of Group Actions on One-manifolds
Number of Pages: Xiv, 323 Pages
Language: English
Publication Name: Structure and Regularity of Group Actions on One-Manifolds
Publisher: Springer International Publishing A&G
Subject: Group Theory, Algebra / Abstract, Topology
Publication Year: 2021
Item Weight: 23.8 Oz
Type: Textbook
Item Length: 9.3 in
Author: Sang-Hyun Kim, Thomas Koberda
Subject Area: Mathematics
Series: Springer Monographs in Mathematics Ser.
Item Width: 6.1 in
Format: Hardcover
