2004•arXiv (Cornell University)Open access
Examples of irreducible automorphisms of handlebodies
Leonardo Navarro Carvalho
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Abstract
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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