Action dimensions of some simple complexes of groups

Michael W. Davis; Giang Le; Kevin Schreve

doi:10.1112/topo.12115

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arXiv · 1803.04095

Action dimensions of some simple complexes of groups

Michael W. Davis·Giang Le·Kevin Schreve

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Abstract

The action dimension of a discrete group $G$ is the minimum dimension of contractible manifold that admits a proper $G$-action. We compute the action dimension of the direct limit of a simple complex of groups for several classes of examples including: 1) Artin groups, 2) graph products of groups, and 3) fundamental groups of aspherical complements of arrangements of affine hyperplanes.

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Michael W. Davis, Giang Le, Kevin Schreve. 2018-03-12. Action dimensions of some simple complexes of groups. https://doi.org/10.1112/topo.12115

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