Some surface subgroups survive surgery

Details Some surface subgroups survive surgery Some surface subgroups survive surgery

2001-04-07

arxiv.org/abs/math/0104088v1

Geom. Topol. 5(2001) 347-367

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper12.abs.html

Scientific paper

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.

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