Residually free 3-manifolds

Mathematics – Geometric Topology

Scientific paper

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19 pages, referee's comments incorporated, to appear in Algebraic & Geometric Topology

Scientific paper

We classify those compact 3-manifolds with incompressible toral boundary
whose fundamental groups are residually free. For example, if such a manifold
$M$ is prime and orientable and the fundamental group of $M$ is non-trivial
then $M \cong \Sigma\times S^1$, where $\Sigma$ is a surface.

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