English

Residually free 3-manifolds

Geometric Topology 2014-10-01 v2 Group Theory

Abstract

We classify those compact 3-manifolds with incompressible toral boundary whose fundamental groups are residually free. For example, if such a manifold MM is prime and orientable and the fundamental group of MM is non-trivial then MΣ×S1M \cong \Sigma\times S^1, where Σ\Sigma is a surface.

Keywords

Cite

@article{arxiv.0802.0883,
  title  = {Residually free 3-manifolds},
  author = {Henry Wilton},
  journal= {arXiv preprint arXiv:0802.0883},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T10:10:14.097Z