000			01767cam a2200265 i 4500
001			138313
003			ISI Library, Kolkata
005			20180511122331.0
008			170515s2017 riu b 001 0 eng
020			_a9781470441463 (hbk. : acidfree paper)
040			_aISI Library
082	0	4	_a510MS _223 _bAm512
100	1		_aFrigerio, Roberto, _eauthor
245	1	0	_aBounded cohomology of discrete groups / _cRoberto Frigerio.
260			_aProvidence : _bAmerican Mathematical Society, _c©2017.
300			_axvi, 193 pages : _billustrations ; _c27 cm.
490	0		_aMathematical surveys and monographs ; _vv 227.
504			_aIncludes bibliographical references and index.
505	0		_aIntroduction -- 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.
520			_aThe 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.
650		0	_aIntersection homology theory.
650		0	_aHomology theory.
650		0	_aHomological algebra.
942			_2ddc _cBK
999			_c424603 _d424603