对投射复合物的非圆柱形作用

L’Enseignement Mathématique Pub Date : 2017-11-23 DOI:10.4171/lem/65-1/2-1

M. Bestvina, K. Bromberg, K. Fujiwara, A. Sisto

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引用次数: 30

摘要

由于Bestvina-Bromberg-Fujiwara，我们简化了投影综合体的建设。为了做到这一点，我们引入了一个更尖锐的贝尔斯托克不等式，并表明它总是可以强制执行的。此外，我们还利用新的设置证明了作用于投影配合物的非圆柱性结果。我们还处理了与投影复形相关的度量空间的拟树，并证明了在这种情况下的非圆柱性准则。

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Acylindrical actions on projection complexes

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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L’Enseignement Mathématique

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