Volume 5, issue 1 (2001)

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Some surface subgroups survive surgery

Daryl Cooper and Darren D Long

Geometry & Topology 5 (2001) 347–367

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 2000
Primary: 57M27
Secondary: 57M50, 20H10
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Publication
Received: 9 January 2001
Revised: 10 March 2001
Accepted: 6 April 2001
Published: 6 April 2001
Proposed: Walter Neumann
Seconded: David Gabai, Joan Birman
Authors
Daryl Cooper
Department of Mathematics
University of California
Santa Barbara
California 93106
USA
Darren D Long
Department of Mathematics
University of California
Santa Barbara
California 93106
USA