Extending pseudo-Anosov maps to compression bodies

Details Extending pseudo-Anosov maps to compression bodies Extending pseudo-Anosov maps to compression bodies

2010-10-29

arxiv.org/abs/1011.0021v1

Mathematics

Geometric Topology

29 pages

Scientific paper

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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