书目名称 | Continuous Bounded Cohomology of Locally Compact Groups |
编辑 | Nicolas Monod |
视频video | http://file.papertrans.cn/237/236987/236987.mp4 |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | Recent research has repeatedly led to connections between important rigidity questions and bounded cohomology. However, the latter has remained by and large intractable. This monograph introduces the functorial study of the continuous bounded cohomology for topological groups, with coefficients in Banach modules. The powerful techniques of this more general theory have successfully solved a number of the original problems in bounded cohomology. As applications, one obtains, in particular, rigidity results for actions on the circle, for representations on complex hyperbolic spaces and on Teichmüller spaces. A special effort has been made to provide detailed proofs or references in quite some generality. |
出版日期 | Book 2001 |
关键词 | Bounded cohomology; Cohomology; Lattice; continuous cohomology; homology; lattices in Lie groups; rigidity |
版次 | 1 |
doi | https://doi.org/10.1007/b80626 |
isbn_softcover | 978-3-540-42054-5 |
isbn_ebook | 978-3-540-44962-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2001 |