Toroidal and annular Dehn fillings

dc.creatorGordon, Cameron McA.
dc.creatorWu, Ying-Qing
dc.date1997-05-16
dc.date.accessioned2026-07-07T09:15:46Z
dc.date.available2026-07-07T09:15:46Z
dc.descriptionSuppose $M$ is a hyperbolic 3-manifold which admits two Dehn fillings $M(r_1)$ and $M(r_2)$ such that $M(r_1)$ contains an essential torus and $M(r_2)$ contains an essential annulus. It is known that $Δ= Δ(r_1, r_2) \leq 5$. We will show that if $Δ= 5$ then $M$ is the Whitehead sister link exterior, and if $Δ= 4$ then $M$ is the exterior of either the Whitehead link or the 2-bridge link associated to the rational number $3/10$. There are infinitely many examples with $Δ= 3$.
dc.identifierhttps://arxiv.org/abs/math/9705221
dc.identifierhttp://arxiv.org/abs/math/9705221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153128
dc.subjectGeometric Topology
dc.titleToroidal and annular Dehn fillings
dc.typetext

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