Volume 8, issue 4 (2008)

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Residually free $3$–manifolds

Henry Wilton

Algebraic & Geometric Topology 8 (2008) 2031–2047
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 MΣ × S1, 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