Polynomial homological Dehn functions from non-proper actions

Sauer, Roman; Weis, Jannis

doi:10.48550/arXiv.2606.25897

§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.

§Cite this article

BibTeX

@misc{SauerWeis2026Polynomial,
  author = {Sauer, Roman and Weis, Jannis},
  title = {Polynomial homological {Dehn} functions from non-proper actions},
  year = {2026},
  doi = {10.48550/arXiv.2606.25897},
  eprint = {2606.25897},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  note = {Preprint},
  url = {https://arxiv.org/abs/2606.25897}
}

AMSRefs

\bib{SauerWeis2026Polynomial}{article}{
  author={Sauer, Roman},
  author={Weis, Jannis},
  title={Polynomial homological {Dehn} functions from non-proper actions},
  date={2026},
  doi={10.48550/arXiv.2606.25897},
  status={Preprint},
  eprint={arXiv:2606.25897},
  url={https://arxiv.org/abs/2606.25897}
}