Kevin Li

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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

Combination of open covers with $I ¨ _{1}$ -constraints

Pietro Capovilla, Kevin Li, Clara Loeh

Let~ $G$ be a group and let~ $F$ be a family of subgroups of~ $G$ . The generalised Lusternik--Schnirelmann category~ $cat_{F} (G)$ is the minimal cardin…

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…

The cheap embedding principle: Dynamical upper bounds for homology growth

Combination of open covers with I¨1​-constraints

The Serre spectral sequence in bounded cohomology

Combination of open covers with $I ¨ _{1}$ -constraints