English

On Asymptotic and Continuous Group Orlicz Cohomology

Metric Geometry 2023-10-12 v2 Group Theory

Abstract

We generalize some results on asymptotic and continuous group LpL^p-cohomology to Orlicz cohomology. In particular, we show that asymptotic Orlicz cohomology is a quasi-isometry invariant and that both notions coincide in the case of a locally compact second countable group. The case of degree 11 is studied in more detail.

Keywords

Cite

@article{arxiv.2209.12861,
  title  = {On Asymptotic and Continuous Group Orlicz Cohomology},
  author = {Yaroslav Kopylov and Emiliano Sequeira},
  journal= {arXiv preprint arXiv:2209.12861},
  year   = {2023}
}

Comments

To appear at Annales de l'Institut Fourier