Extending pseudo-Anosov maps to compression bodies
Geometric Topology
2014-02-26 v1
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.
Cite
@article{arxiv.1011.0021,
title = {Extending pseudo-Anosov maps to compression bodies},
author = {Ian Biringer and Jesse Johnson and Yair Minsky},
journal= {arXiv preprint arXiv:1011.0021},
year = {2014}
}
Comments
29 pages