The Resource Flexibility of Group Actions on the Circle, by Sang-hyun Kim, Thomas Koberda, Mahan Mj, (electronic resource)

Flexibility of Group Actions on the Circle, by Sang-hyun Kim, Thomas Koberda, Mahan Mj, (electronic resource)

Label
Flexibility of Group Actions on the Circle
Title
Flexibility of Group Actions on the Circle
Statement of responsibility
by Sang-hyun Kim, Thomas Koberda, Mahan Mj
Creator
Contributor
Author
Author
Subject
Language
eng
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 groups
Member of
http://library.link/vocab/creatorName
Kim, Sang-hyun
Dewey number
512.2
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 37rR0jn2jPQ
  • cU6osAd3of8
  • Z_rCEUMhHhs
Image bit depth
0
LC call number
QA174-183
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Koberda, Thomas.
  • Mj, Mahan.
Series statement
Lecture Notes in Mathematics,
Series volume
2231
http://library.link/vocab/subjectName
  • Group theory
  • Differentiable dynamical systems
  • Cell aggregation
  • Algebra
  • Group Theory and Generalizations
  • Dynamical Systems and Ergodic Theory
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Order, Lattices, Ordered Algebraic Structures
Label
Flexibility of Group Actions on the Circle, by Sang-hyun Kim, Thomas Koberda, Mahan Mj, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
- Introduction -- Preliminaries -- Topological Baumslag Lemmas. - Splittable Fuchsian Groups. - Combination Theorem for Flexible Groups. - Axiomatics. - Mapping Class Groups. - Zero Rotation Spectrum and Teichmüller Theory
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource (X, 136 p. 33 illus., 2 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783030028558
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-030-02855-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)4100000007598344
  • (DE-He213)978-3-030-02855-8
  • (EXLCZ)994100000007598344
Label
Flexibility of Group Actions on the Circle, by Sang-hyun Kim, Thomas Koberda, Mahan Mj, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
- Introduction -- Preliminaries -- Topological Baumslag Lemmas. - Splittable Fuchsian Groups. - Combination Theorem for Flexible Groups. - Axiomatics. - Mapping Class Groups. - Zero Rotation Spectrum and Teichmüller Theory
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource (X, 136 p. 33 illus., 2 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783030028558
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-030-02855-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)4100000007598344
  • (DE-He213)978-3-030-02855-8
  • (EXLCZ)994100000007598344

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