Flexibility of Group Actions on the Circle

• Main Authors: Kim, Sang-hyun (Author, http://id.loc.gov/vocabulary/relators/aut), Koberda, Thomas (http://id.loc.gov/vocabulary/relators/aut), Mj, Mahan (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Lecture Notes in Mathematics, 2231
• Subjects: Group 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.

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 subadditi...

Table of Contents:

• - Introduction
• Preliminaries
• Topological Baumslag Lemmas. - Splittable Fuchsian Groups. - Combination Theorem for Flexible Groups. - Axiomatics. - Mapping Class Groups. - Zero Rotation Spectrum and Teichmüller Theory.