Flexibility of Group Actions on the Circle
tarafından
Kim, Sang-hyun. author. (orcid)0000-0002-7759-8210
Başlık
:
Flexibility of Group Actions on the Circle
Yazar
:
Kim, Sang-hyun. author. (orcid)0000-0002-7759-8210
ISBN
:
9783030028558
Yazar
:
Kim, Sang-hyun. author.
Edisyon
:
1st ed. 2019.
Fiziksel Niteleme
:
X, 136 p. 33 illus., 2 illus. in color. online resource.
Seri
:
Lecture Notes in Mathematics, 2231
İçindekiler
:
- Introduction -- Preliminaries -- Topological Baumslag Lemmas. - Splittable Fuchsian Groups. - Combination Theorem for Flexible Groups. - Axiomatics. - Mapping Class Groups. - Zero Rotation Spectrum and Teichmüller Theory.
Özet
:
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.
Konu Başlığı
:
Group theory.
Dynamics.
Ergodic theory.
Manifolds (Mathematics).
Complex manifolds.
Algebra.
Ordered algebraic structures.
Group Theory and Generalizations. https://scigraph.springernature.com/ontologies/product-market-codes/M11078
Dynamical Systems and Ergodic Theory. https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
Manifolds and Cell Complexes (incl. Diff.Topology). https://scigraph.springernature.com/ontologies/product-market-codes/M28027
Order, Lattices, Ordered Algebraic Structures. https://scigraph.springernature.com/ontologies/product-market-codes/M11124
Yazar Ek Girişi
:
Koberda, Thomas.
Mj, Mahan.
Ek Kurum Yazar
:
SpringerLink (Online service)
Elektronik Erişim
:
Materyal Türü | Barkod | Yer Numarası | Durumu/İade Tarihi |
---|
Electronic Book | 428918-1001 | QA174 -183 | Springer E-Book Collection |