Geometry & Topology 5 (2001) 347–367

DOI: 10.2140/gt.2001.5.347

arXiv: math.GT/0104088

Abstract

It is shown that with finitely many exceptions, the fundamental group obtained by Dehn surgery on a one cusped hyperbolic 3–manifold contains the fundamental group of a closed surface.

Keywords

Dehn surgery, surface subgroups

Mathematical Subject Classification

Primary: 57M27

Secondary: 20H10, 57M50

References

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Publication

Received: 09 January 2001
Revised: 10 March 2001
Accepted: 6 April 2001
Published: 6 April 2001
Proposed: Walter Neumann
Seconded: David Gabai, Joan Birman

Authors