Springer Monographs in Mathematics- Structure and Regularity of Group Actions on One-Manifolds

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  • Engels
  • Hardcover
  • 9783030890056
  • 20 november 2021
  • 323 pagina's
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Samenvatting

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.

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Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
20 november 2021
Aantal pagina's
323

Betrokkenen

Hoofdauteur
Sang-Hyun Kim
Tweede Auteur
Thomas Koberda

Overige kenmerken

Editie
1st ed. 2021
Product breedte
155 mm
Product lengte
235 mm
Studieboek
Ja
Verpakking breedte
155 mm
Verpakking hoogte
235 mm
Verpakking lengte
235 mm
Verpakkingsgewicht
676 g

EAN

EAN
9783030890056

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