Residually free 3-manifolds

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

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

References in corpus (1)

• Quasi-isometric classification of graph manifold groups

Cited by in corpus (2)

• Pure braid groups are not residually free
• Residual properties of 3-manifold groups I: Fibered and hyperbolic 3-manifolds