Immersed surfaces, Dehn surgery and nonpositive cubing of 3-manifolds
Let M be an orientable and irreducible 3-manifold whose boundary
is an incompressible torus, and suppose that M does not contain
closed nonperipheral embedded incompressible surfaces. We show that
only finitely many Dehn fillings to M can yield 3-manifolds with
nonpositive cubing.
Spring 2001 meeting of the PNGS