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arXiv · 1711.08722

Acylindrical actions on projection complexes

Mladen Bestvina·Ken Bromberg·Koji Fujiwara·Alessandro Sisto
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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.

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Mladen Bestvina, Ken Bromberg, Koji Fujiwara, Alessandro Sisto. 2017-11-23. Acylindrical actions on projection complexes. https://arxiv.org/abs/1711.08722

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