Reducing Dehn fillings and small surfaces

Details Reducing Dehn fillings and small surfaces Reducing Dehn fillings and small surfaces

2003-03-13

arxiv.org/abs/math/0303156v1

Mathematics

Geometric Topology

17 pages, 7 figures

Scientific paper

In this paper we investigate the distances between Dehn fillings on a hyperbolic 3-manifold that yield 3-manifolds containing essential small surfaces including non-orientable surfaces. Especially we study the situations where one filling creates an essential sphere or projective plane, and the other creates an essential sphere, projective plane, annulus, Moebius band, torus or Klein bottle,all 11 pairs of such non-hyperbolic manifolds.

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