English

Examples of irreducible automorphisms of handlebodies

Geometric Topology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0403051,
  title  = {Examples of irreducible automorphisms of handlebodies},
  author = {Leonardo N. Carvalho},
  journal= {arXiv preprint arXiv:math/0403051},
  year   = {2007}
}

Comments

20 pages, 11 Figures