Flexibility of Group Actions on the Circle (Paperback, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2231
Release date:	2019
First published:	2019
Authors:	Sang Hyun Kim • Thomas Koberda • Mahan Mj
Dimensions:	235 x 155 x 9mm (L x W x T)
Format:	Paperback
Pages:	136
Edition:	1st ed. 2019
ISBN-13:	978-3-03-002854-1
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Promotions
LSN:	3-03-002854-2
Barcode:	9783030028541

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