Linear isoperimetric functions for surfaces in hyperbolic groups
Geometric Topology
2022-05-23 v1 Group Theory
Abstract
We show that word-hyperbolic groups satisfy linear isoperimetric functions for all homotopy types of surface diagrams. This generalises the linear isoperimetric functions for disc and annular diagrams.
Cite
@article{arxiv.2205.10096,
title = {Linear isoperimetric functions for surfaces in hyperbolic groups},
author = {Macarena Arenas and Daniel T. Wise},
journal= {arXiv preprint arXiv:2205.10096},
year = {2022}
}
Comments
27 pages, 13 figures