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Invariant incompressible surfaces in reducible 3-manifolds
Published online by Cambridge University Press: 24 January 2018
Abstract
We study the effect of the mapping class group of a reducible 3-manifold $M$ on each incompressible surface that is invariant under a self-homeomorphism of $M$. As an application of this study we answer a question of F. Rodriguez Hertz, M. Rodriguez Hertz, and R. Ures: a reducible 3-manifold admits an Anosov torus if and only if one of its prime summands is either the 3-torus, the mapping torus of $-\text{id}$, or the mapping torus of a hyperbolic automorphism.
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- © Cambridge University Press, 2018
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