3 papers
math.GR2026
Polynomial homological Dehn functions from non-proper actions
Roman Sauer, Jannis Weis
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 polynomi…
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.GR2024
The algebraic cheap rebuilding property
Kevin Li, Clara Loeh, Marco Moraschini +2
We present an axiomatic approach to combination theorems for various homological properties of groups and, more generally, of chain complexes. Examples of such properties include a…