Bounded cohomology via partial differential equations, I
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boundedcohomologycontinuousdifferentialequationspartialapplicationcase
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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.
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