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arXiv · 2508.01347

The cheap embedding principle: Dynamical upper bounds for homology growth

Kevin Li·Clara Loeh·Marco Moraschini·Roman Sauer·Matthias Uschold
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Abstract

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

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Kevin Li, Clara Loeh, Marco Moraschini, Roman Sauer, Matthias Uschold. 2025-08-02. The cheap embedding principle: Dynamical upper bounds for homology growth. https://arxiv.org/abs/2508.01347

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