The Serre spectral sequence in bounded cohomology

Published 28 Mar 2025 in math.AT and math.GT | (2503.22505v1)

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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