Totally geodesic surfaces with arbitrarily many compressions

Details Totally geodesic surfaces with arbitrarily many compressions Totally geodesic surfaces with arbitrarily many compressions

2010-08-07

arxiv.org/abs/1008.1296v3

Mathematics

Geometric Topology

Scientific paper

A closed totally geodesic surface in the figure eight knot complement remains
incompressible in all but finitely many Dehn fillings. In this paper, we show
that there is no universal upper bound on the number of such fillings,
independent of the surface. This answers a question of Ying-Qing Wu.

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