Flexibility of Group Actions on the Circle (Record no. 21900)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03979nam a22006135i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200701170821.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190107s2019 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030028558 |
| -- | 978-3-030-02855-8 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.2 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kim, Sang-hyun. |
| 245 10 - TITLE STATEMENT | |
| Title | Flexibility of Group Actions on the Circle |
| Statement of responsibility, etc | by Sang-hyun Kim, Thomas Koberda, Mahan Mj. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | X, 136 p. 33 illus., 2 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Mathematics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | - Introduction -- Preliminaries -- Topological Baumslag Lemmas. - Splittable Fuchsian Groups. - Combination Theorem for Flexible Groups. - Axiomatics. - Mapping Class Groups. - Zero Rotation Spectrum and Teichmüller Theory. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Group theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Dynamics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Ergodic theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Manifolds (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Complex manifolds. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Ordered algebraic structures. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Group Theory and Generalizations. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Dynamical Systems and Ergodic Theory. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Manifolds and Cell Complexes (incl. Diff.Topology). |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Order, Lattices, Ordered Algebraic Structures. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Koberda, Thomas. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mj, Mahan. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-030-02855-8 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | EBooks |
| 037 ## - SOURCE OF ACQUISITION | |
| Source of stock number/acquisition | Indica Technologies & Services Pvt. Ltd., 7/31, Ansari Road, Daryaganj, New Delhi-110002 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| -- | (orcid)0000-0002-7759-8210 |
| -- | https://orcid.org/0000-0002-7759-8210 |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2019. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11078 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M1204X |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M28027 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11124 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| -- | (orcid)0000-0001-5465-2651 |
| -- | https://orcid.org/0000-0001-5465-2651 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| -- | (orcid)0000-0002-1316-0906 |
| -- | https://orcid.org/0000-0002-1316-0906 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0075-8434 ; |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 912 ## - | |
| -- | ZDB-2-LNM |
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