Bounded Kähler class rigidity of actions on hermitian symmetric spaces

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Higher Teichmüller Spaces: from SL(2,R) to other Lie groups (2010, unknown): “[13] for a description of the construction)”
The median class and superrigidity of actions on CAT(0) cube complexes (2012, background): “But, more than anything else, we want to emphasize that the existence of a well-behaved and concrete bounded cohomological class goes well beyond the mere knowledge that the bounded cohomology group does not vanish and is the starting point of a wealth of rigidity results (see, for example, [7, 8, 1”
Cocycle superrigidity and bounded cohomology for negatively curved spaces (2004, methodology): “This theory had previously been used for rigidity by Bestvina–Fujiwara, Burger, Iozzi and Monod [2], [7], [8], [9], [22], [30], building on invariants in bounded cohomology with trivial coefficients.”