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Annular and boundary reducing Dehn fillings

Cameron McA. Gordon·Ying-Qing Wu
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Abstract

A manifold M is simple if it contains no essential disk, sphere, annulus or torus. If M is simple and two Dehn fillings M(r_1), M(r_2) are nonsimple, then there is an upper bound on Δ(r_1,r_2), the geometric intersection number between r_1 and r_2. There are 10 possibilities, depending on the types of M(r_i). In this paper it will be shown that if M(r_1) contains an essential disk and M(r_2) contains an essential annulus, then Δ(r_1,r_2) is at most two. This completes the determination of the best possible upper bounds on Δ(r_1, r_2) for all ten cases.

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BibTeXRIS

Cameron McA. Gordon, Ying-Qing Wu. 1998-10-20. Annular and boundary reducing Dehn fillings. https://arxiv.org/abs/math/9810126

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