| 书目名称 | Flexibility of Group Actions on the Circle |
| 编辑 | Sang-hyun Kim,Thomas Koberda,Mahan Mj |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2019 |
| 关键词 | Baumslag Lemma; Combination Theorems; Rotation Spectrum; Semi-conjugacy of Group Actions; Surface Group |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-02855-8 |
| isbn_softcover | 978-3-030-02854-1 |
| isbn_ebook | 978-3-030-02855-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 17:51:11
