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arXiv · 2503.22505

The Serre spectral sequence in bounded cohomology

Kevin Li·Marco Moraschini·George Raptis
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Abstract

We construct the analogue of the Serre spectral sequence for the bounded cohomology of simplicial sets with seminormed local coefficients. As applications, we obtain a (non-isometric) generalization of Gromov's mapping theorem and some partial results on the simplicial volume of manifold bundles.

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Kevin Li, Marco Moraschini, George Raptis. 2025-03-28. The Serre spectral sequence in bounded cohomology. https://arxiv.org/abs/2503.22505

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