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Flexibility of Group Actions on the Circle
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Catalogue Information
Field name
Details
Dewey Class
512.2 (DDC 23.)
Title
Flexibility of Group Actions on the Circle ([Ebook]) / by Sang-hyun Kim, Thomas Koberda, Mahan Mj
Author
Kim, Sang-hyun
Added Personal Name
Koberda, Thomas , 1984-
Mj, Mahan , 1968-
Publication
Cham : Springer , 2019
Physical Details
1 Online-Ressource (X, 136 pages) : ill.
Series
Lecture Notes in Mathematics
; 2231
ISBN
9783030028558
Summary Note
In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups.The authors give general combination theorems for indiscrete isometry groups of hyperbolic space which apply to Fuchsian and limit groups. An abundance of integer-valued subadditive defect-one quasimorphisms on these groups follow as a corollary.The main classes of groups considered are limit and Fuchsian groups. Limit groups are shown to admit large collections of faithful actions on the circle with disjoint rotation spectra. For Fuchsian groups, further flexibility results are proved and the existence of non-geometric actions of free and surface groups is established. An account is given of the extant notions of semi-conjugacy, showing they are equivalent.This book is suitable for experts interested in flexibility of representations, and for non-experts wanting an introduction to group representations into circle homeomorphism groups.:
Mode of acces to digital resource
Digital book. Cham Springer International Publishing 2018. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site
https://doi.org/10.1007/978-3-030-02855-8
Links to Related Works
Subject References:
Algebra
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Cell aggregation
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Differentiable dynamical systems
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Group theory
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Mathematics
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Authors:
Kim, Sang-hyun
.
Koberda, Thomas 1984-
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Mj, Mahan 1968-
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Series:
Lecture Notes in Mathematics
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Classification:
512.2 (DDC 23.)
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