2025/03/28 by Kevin Li, Li, Kevin, Marco Moraschini +3
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Geometry and complex manifolds #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2503.22505
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.