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.

arXiv comment3 figures. Minor changes and corrections

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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