Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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K. Li - M. Moraschini - G. Raptis

The Serre spectral sequence in bounded cohomology

created by moraschini on 02 Apr 2025

[BibTeX]

preprint

Inserted: 2 apr 2025
Last Updated: 2 apr 2025

Year: 2025

ArXiv: 2503.22505 PDF

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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