Continuous Bounded Cohomology of Locally Compact Groups

  • Nicolas Monod
Part of the Lecture Notes in Mathematics book series (LNM, volume 1758)

Table of contents

About this book

Introduction

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.

Keywords

Bounded cohomology Cohomology Lattice continuous cohomology homology lattices in Lie groups rigidity theory

Editors and affiliations

  • Nicolas Monod
    • 1
  1. 1.Department of MathematicsETH-ZürichZürichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/b80626
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-42054-5
  • Online ISBN 978-3-540-44962-1
  • Series Print ISSN 0075-8434