Bounded cohomology via partial differential equations, I

Abstract

We present a new technique that employs partial differential equations in order to explicitly construct primitives in the continuous bounded cohomology of Lie groups. As an application, we prove a vanishing theorem for the continuous bounded cohomology of SL(2, R) in degree four, establishing a special case of a conjecture of Monod.

3 figures. Minor changes and corrections

References in corpus (2)

• The Median Class and Superrigidity of Actions on CAT(0) Cube Complexes
• Bounded cohomology with coefficients in uniformly convex Banach spaces

Cited by in corpus (2)

• The bounded Borel class and complex representations of 3-manifold groups
• A note on bounded-cohomological dimension of discrete groups