Some surface subgroups survive surgery

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

References

Forward citations

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

Volume 5, issue 1 (2001)

Daryl Cooper and Darren D Long