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arXiv · 1310.4806

Bounded cohomology via partial differential equations, I

Tobias Hartnick·Andreas Ott
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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.

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Tobias Hartnick, Andreas Ott. 2013-12-19. Bounded cohomology via partial differential equations, I. https://doi.org/10.2140/gt.2015.19.3603

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