Acylindrical actions on projection complexes
Group Theory
2017-11-27 v1 Geometric Topology
Abstract
We simplify the construction of projection complexes due to Bestvina-Bromberg-Fujiwara. To do so, we introduce a sharper version of the Behrstock inequality, and show that it can always be enforced. Furthermore, we use the new setup to prove acylindricity results for the action on the projection complexes. We also treat quasi-trees of metric spaces associated to projection complexes, and prove an acylindricity criterion in that context as well.
Keywords
Cite
@article{arxiv.1711.08722,
title = {Acylindrical actions on projection complexes},
author = {Mladen Bestvina and Ken Bromberg and Koji Fujiwara and Alessandro Sisto},
journal= {arXiv preprint arXiv:1711.08722},
year = {2017}
}