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Extending pseudo-Anosov maps to compression bodies.

Втр, 11/02/2010 - 16:01 — SomNambul
Authors: Jesse Johnson, Yair Minsky, Ian Biringer
Subjects: Geometric Topology
link: http://arxiv.org/abs/1011.0021
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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