Examples of irreducible automorphisms of handlebodies

Details Examples of irreducible automorphisms of handlebodies Examples of irreducible automorphisms of handlebodies

2004-03-02

arxiv.org/abs/math/0403051v1

Mathematics

Geometric Topology

20 pages, 11 Figures

Scientific paper

Automorphisms of handlebodies arise naturally in the a classification of automorphisms of three-manifolds. Among automorphisms of handlebodies, there are certain automorphisms called irreducible (or generic), which are analogues of pseudo-Anosov automorphisms of surfaces. We show that irreducible automorphisms of handlebodies exist and develop methods for constructing a range of examples.

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