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  • © 2001

Continuous Bounded Cohomology of Locally Compact Groups

Editors:

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1758)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-IX
  2. Introduction

    Pages 1-7
  3. Cohomological techniques

    Pages 129-168
  4. Towards applications

    Pages 169-201
  5. Back Matter

    Pages 203-214

About this book

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

  • Department of Mathematics, ETH-Zürich, Zürich, Switzerland

    Nicolas Monod

Bibliographic Information

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions