Some surface subgroups survive surgery

Daryl Cooper; Darren D Long

doi:10.2140/gt.2001.5.347

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Home > Journals > Geom. Topol. > Volume 5 > Issue 1 > Article

2001 Some surface subgroups survive surgery

Daryl Cooper, Darren D Long

Geom. Topol. 5(1): 347-367 (2001). DOI: 10.2140/gt.2001.5.347

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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.