Geometry & Topology, Vol. 5 (2001) Paper no. 12, pages 347--367.

Some surface subgroups survive surgery

D Cooper and D D Long

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

AMS subject classification. Primary: 57M27. Secondary: 57M50, 20H10.

DOI: 10.2140/gt.2001.5.347

E-print: arXiv:math.GT/0104088

Submitted to GT on 09 January 2001. (Revised 10 March 2001.) Paper accepted 6 April 2001. Paper published 6 April 2001.

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D Cooper and D D Long
Department of Mathematics, University of California
Santa Barbara, CA 93106, USA

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