The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups
The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups
We construct combinatorial volume forms of hyperbolic three manifolds fibering over the circle. These forms define non-trivial classes in bounded cohomology. After introducing a new seminorm on exact bounded cohomology, we use these combinatorial classes to show that, in degree 3, the zero norm subspace of the bounded cohomology of …