JournalslemVol. 65, No. 1/2pp. 1–32

Acylindrical actions on projection complexes

  • Mladen Bestvina

    University of Utah, Salt Lake City, USA

  • Kenneth Bromberg

    University of Utah, Salt Lake City, USA

  • Koji Fujiwara

    Kyoto University, Japan

  • Alessandro Sisto

    ETH Zürich, Switzerland
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Abstract

We simplify the construction of projection complexes from [BBF2]. 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.

Cite this article

Mladen Bestvina, Kenneth Bromberg, Koji Fujiwara, Alessandro Sisto, Acylindrical actions on projection complexes. Enseign. Math. 65 (2019), no. 1/2, pp. 1–32

DOI 10.4171/LEM/65-1/2-1