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Flexibility of Group Actions on the Circle / Sang-hyun Kim, Thomas Koberda, Mahan Mj

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBook Collection | SpringerLink Bücher | Lecture notes in mathematics ; 2231Publisher: Cham : Springer, [2019]Copyright date: © 2019Description: 1 Online-Ressource (X, 136 Seiten) : Illustrationen, DiagrammeISBN:
  • 9783030028558
Subject(s): Additional physical formats: 9783030028541 | 9783030028565 | Erscheint auch als: Flexibility of group actions on the circle. Druck-Ausgabe Cham, Switzerland : Springer, 2019. x, 134 SeitenDDC classification:
  • 512.2
MSC: MSC: *57-02 | 57M60 | 37E10 | 20F38 | 20F65 | 30F35LOC classification:
  • QA174-183
DOI: DOI: 10.1007/978-3-030-02855-8Online resources: Summary: 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 groupsSummary: - Introduction -- Preliminaries -- Topological Baumslag Lemmas. - Splittable Fuchsian Groups. - Combination Theorem for Flexible Groups. - Axiomatics. - Mapping Class Groups. - Zero Rotation Spectrum and Teichmüller TheoryPPN: PPN: 1048363651Package identifier: Produktsigel: ZDB-2-LNM | ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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Reproduktion. (Springer eBook Collection. Mathematics and Statistics)

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