Residually free 3–manifolds

Wilton, Henry

doi:10.2140/agt.2008.8.2031

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Residually free $3$–manifolds

Henry Wilton

Algebraic & Geometric Topology 8 (2008) 2031–2047

DOI: 10.2140/agt.2008.8.2031

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 nontrivial then $M ≅ Σ \times S^{1}$ , where $Σ$ is a surface.

Keywords

3-manifolds, free groups, geometric group theory

Mathematical Subject Classification 2000

Primary: 20F65, 57N10

References

Publication

Received: 6 February 2008

Revised: 5 September 2008

Accepted: 10 September 2008

Published: 28 October 2008

Authors

Henry Wilton
Department of Mathematics University of Texas 1 University Station C1200 Austin, TX 78712-0257 USA

Volume 8, issue 4 (2008)