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math.MG2012
A Dual Interpretation of the Gromov--Thurston Proof of Mostow Rigidity and Volume Rigidity for Representations of Hyperbolic Lattices
Michelle Bucher, Marc Burger, Alessandra Iozzi
We use bounded cohomology to define a notion of volume of an SO(n,1)-valued representation of a lattice SO(n,1) and, using this tool, we give a complete proof of the volume rigidit…
math.MG2005★ 8 cited
Bounded Cohomology and Deformation Rigidity in Complex Hyperbolic Geometry
Marc Burger, Alessandra Iozzi
We develop further basic tools in the theory of continuous bounded cohomology of locally compact groups. We apply this tools to establish a Milnor-Wood type inequality in a very ge…