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2008 Residually free $3$–manifolds
Henry Wilton
Algebr. Geom. Topol. 8(4): 2031-2047 (2008). 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 MΣ×S1, where Σ is a surface.

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Henry Wilton. "Residually free $3$–manifolds." Algebr. Geom. Topol. 8 (4) 2031 - 2047, 2008. https://doi.org/10.2140/agt.2008.8.2031

Information

Received: 6 February 2008; Revised: 5 September 2008; Accepted: 10 September 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1194.57005
MathSciNet: MR2449007
Digital Object Identifier: 10.2140/agt.2008.8.2031

Subjects:
Primary: 20F65, 57N10

Rights: Copyright © 2008 Mathematical Sciences Publishers

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