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arXiv · 2606.25897

Polynomial homological Dehn functions from non-proper actions

Roman Sauer·Jannis Weis
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Abstract

We establish a homological algebra framework for proving polynomiality of higher homological Dehn functions of groups. As an application, we show a combination theorem for polynomial Dehn functions, which is reminiscent of a theorem of Brown for finiteness properties.

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Roman Sauer, Jannis Weis. 2026-06-24. Polynomial homological Dehn functions from non-proper actions. https://arxiv.org/abs/2606.25897

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