Continuous Bounded Cohomology of Locally Compact Groups
By Nicolas Monod. 2001
161 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e02b56e8435457c81ea04ccaa52b7cad3169ba56
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Surface group representations with maximal Toledo invariant (2003, methodology): “eity then implies that f1 = f2.38 M. BURGER, A. IOZZI, AND A. WIENHARD 3.3. Rotation Numbers Relative to K¨ahler Classes. In view of Proposition 3.3, the following well known result (see for instance [55]) will turn out to be useful: Proposition 3.10. If either one of the following condition is veri”
- The simplicial volume of closed manifolds covered by ℍ2 × ℍ2 (2007, background): “For more details on continuous, bounded cohomology, we invite the reader to consult [14].”
- The median class and superrigidity of actions on CAT(0) cube complexes (2012, background): “Since the map Hb(Γ, l (H(X)) → Hb(Γ0, l (H(X)) is injective [Mon01], the median class of the Γ-action vanishes.”
- Bounded cohomology of subgroups of mapping class groups (Hyperbolic Spaces and Discrete Groups) (2000, background): “0! H(1)(G;R)! QH(G)! H(2) b (G;R)! H(2)(G;R) where H2 b (G;R) denotes the second bounded cohomology of G (for the background on bounded cohomology the reader is referred to [14] and [24]).”
- Maximal Representations of Surface Groups: Symplectic Anosov Structures (2005, background): “up of isometries of a Hermitian symmetric space. The definition of tight homomorphism rests on basic concepts in bounded continuous cohomology which we briefly recall; for a comprehensive treatment see [56] and [19]. We start with the more familiar concept of continuous group cohomology. For a locally”
- Induced quasicocycles on groups with hyperbolically embedded subgroups (2012, background): “ Hn b (G;V) !Hn(G;V) which is induced by the inclusion map of the cochain complexes. This map is called the comparison map, and the kernel of cis denoted EHn b (G;V). The following lemma is proved in [20] (see also [27]) in the case when V is a Banach space. The same proof works in the general case.”