Virtual cubulation of nonpositively curved graph manifolds

Details Virtual cubulation of nonpositively curved graph manifolds Virtual cubulation of nonpositively curved graph manifolds

2011-10-10

arxiv.org/abs/1110.1940v1

Mathematics

Geometric Topology

30 pages, 2 figures

Scientific paper

In this paper, we show that a nontrivial compact graph manifold is
nonpositively curved if and only if its fundamental group virtually embeds into
a right-angled Artin group. As a consequence, nonpositively curved graph
manifolds have linear fundamental groups.

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