Essential Laminations in Surgered 3-Manifolds

  title={Essential Laminations in Surgered 3-Manifolds},
  author={Ying-Qing Wu}
Suppose M is a 3-manifold with torus T as a boundary component, and let P be an incompressible surface on ∂M disjoint from T . It was proved in [9] that in most cases, P remains incompressible in most of the Dehn filled manifolds M(γ). (See Proposition 2 below). The present note is to solve a problem posed informally by Peter Shalen, which asks whether a similar result holds for essential laminations in 3-manifolds. The answer is positive: Essential laminations disjoint from T will usually… CONTINUE READING
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