Marco Moraschini

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math.AT2025

The cheap embedding principle: Dynamical upper bounds for homology growth

Kevin Li, Clara Loeh, Marco Moraschini +2

We provide upper bounds for logarithmic torsion homology growth and Betti number growth of groups, phrased in the language of measured group theory.

math.AT2025

The Serre spectral sequence in bounded cohomology

Kevin Li, Marco Moraschini, George Raptis

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-isometr…

math.AT2024

Some remarks on acyclicity in bounded cohomology

Marco Moraschini, George Raptis

We show that a surjective homomorphism $I ¨ : I^ \to K$ of (discrete) groups induces an isomorphism $H_{b}^{∙} (K; V) \to H_{b}^{∙} (I^; I ¨ ^{- 1} V)$ in bounded cohomology for a…