The Serre spectral sequence in bounded cohomology
Algebraic Topology
2025-03-31 v1 Geometric Topology
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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Cite
@article{arxiv.2503.22505,
title = {The Serre spectral sequence in bounded cohomology},
author = {Kevin Li and Marco Moraschini and George Raptis},
journal= {arXiv preprint arXiv:2503.22505},
year = {2025}
}
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33 pages