TY  - BOOK
AU  - Frigerio,Roberto
TI  - Bounded cohomology of discrete groups
T2  - Mathematical surveys and monographs
SN  - 9781470441463 (hbk. : acidfree paper)
U1  - 510MS 23
PY  - 2017///
CY  - Providence : 
PB  - American Mathematical Society, 
KW  - Intersection homology theory
KW  - Homology theory
KW  - Homological algebra
N1  - Includes bibliographical references and index; Introduction --
1. (Bounded) cohomology of groups --
2. (Bounded) cohomology of groups in low degree --
3. Amenability --
4. (Bounded) group cohomology via resolutions --
5. Bounded cohomology of topological spaces --
6. ℓ¹-homology and duality --
7. Simplicial volume --
8. The proportionality principle --
9. Additivity of the simplicial volume --
10. Group actions on the circle --
11. The Euler class of sphere bundles --
12. Milnor-Wood inequalities and maximal representations --
13. The bounded Euler class in higher dimensions and the Chern conjecture
N2  - The theory of bounded cohomology, introduced by Gromov in the late 1980s, has had powerful applications in geometric group theory and the geometry and topology of manifolds, and has been the topic of active research continuing to this day. This monograph provides a unified, self-contained introduction to the theory and its applications
ER  -