Extending pseudo-Anosov maps to compression bodies

Ian Biringer; Jesse Johnson; Yair Minsky

doi:10.1112/jtopol/jtt021

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arXiv · 1011.0021

Extending pseudo-Anosov maps to compression bodies

Ian Biringer·Jesse Johnson·Yair Minsky

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Abstract

We show that a pseudo-Anosov map on a boundary component of an irreducible 3-manifold has a power that partially extends to the interior if and only if its (un)stable lamination is a projective limit of meridians. The proof is through 3-dimensional hyperbolic geometry, and involves an investigation of algebraic limits of convex cocompact compression bodies.

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BibTeX RIS

Ian Biringer, Jesse Johnson, Yair Minsky. 2010-10-29. Extending pseudo-Anosov maps to compression bodies. https://doi.org/10.1112/jtopol%2Fjtt021

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