Bounded cohomology of discrete groups / Roberto Frigerio.
Material type:
TextSeries: Mathematical surveys and monographs ; v 227.Publication details: Providence : American Mathematical Society, ©2017.Description: xvi, 193 pages : illustrations ; 27 cmISBN: - 9781470441463 (hbk. : acidfree paper)
- 510MS 23 Am512
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 510MS Am512 (Browse shelf(Opens below)) | Available | 138313 |
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| 510MS Am512 Homotopy of operads and Grothendieck-Teichmüller groups : | 510MS Am512 Expanding Thurston maps / | 510MS Am512 Topics in hyperplane arrangements / | 510MS Am512 Bounded cohomology of discrete groups / | 510MS Am512(30) Markoff and Lagrange spectra | 510MS Am512(48) Integer-valued polynomials | 510MS Am512(52) Elliptic boundary value problems in domains with point singularities |
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.
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.
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