04021nam 22007335 450 991033824810332120200630064401.03-030-02855-010.1007/978-3-030-02855-8(CKB)4100000007598344(DE-He213)978-3-030-02855-8(MiAaPQ)EBC5924830(PPN)233797106(EXLCZ)99410000000759834420190107d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierFlexibility of Group Actions on the Circle /by Sang-hyun Kim, Thomas Koberda, Mahan Mj1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (X, 136 p. 33 illus., 2 illus. in color.) Lecture Notes in Mathematics,0075-8434 ;22313-030-02854-2 Includes bibliographical references and index.- Introduction -- Preliminaries -- Topological Baumslag Lemmas. - Splittable Fuchsian Groups. - Combination Theorem for Flexible Groups. - Axiomatics. - Mapping Class Groups. - Zero Rotation Spectrum and Teichmüller Theory.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.Lecture Notes in Mathematics,0075-8434 ;2231Group theoryDynamicsErgodic theoryManifolds (Mathematics)Complex manifoldsAlgebraOrdered algebraic structuresGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XManifolds and Cell Complexes (incl. Diff.Topology)https://scigraph.springernature.com/ontologies/product-market-codes/M28027Order, Lattices, Ordered Algebraic Structureshttps://scigraph.springernature.com/ontologies/product-market-codes/M11124Group theory.Dynamics.Ergodic theory.Manifolds (Mathematics)Complex manifolds.Algebra.Ordered algebraic structures.Group Theory and Generalizations.Dynamical Systems and Ergodic Theory.Manifolds and Cell Complexes (incl. Diff.Topology).Order, Lattices, Ordered Algebraic Structures.512.2512.55Kim Sang-hyunauthttp://id.loc.gov/vocabulary/relators/aut691784Koberda Thomasauthttp://id.loc.gov/vocabulary/relators/autMj Mahanauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910338248103321Flexibility of Group Actions on the Circle2517365UNINA