Bounded cohomology

General Introduction

Can be defined for spaces and for discrete groups - maybe also for other objects. Is dual to -homology.

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Online References

Introduction by Marco Schmidt

Invitation by Monod

Lecture notes by Michelle Bucher

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Paper References

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Definition

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Properties

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Standard theorems

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Open Problems

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Connections to Number Theory

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Computations and Examples

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History and Applications

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Some Research Articles

Monod and Shalom

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Other Information

A workshop on bounded cohomology was organised in May 2009 at Oberwolfach by Monod, Bucher, and Pierre Py.

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General Introduction