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arXiv · 0802.0883

Residually free 3-manifolds

Henry Wilton
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Abstract

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 $M \cong Σ\times S^1$, where $Σ$ is a surface.

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Henry Wilton. 2008-09-12. Residually free 3-manifolds. https://doi.org/10.2140/agt.2008.8.2031

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