Orientation-reversing free actions on handlebodies
Geometric Topology
2007-05-23 v1
Abstract
We examine free orientation-reversing group actions on orientable handlebodies, and free actions on nonorientable handlebodies. A classification theorem is obtained, giving the equivalence classes and weak equivalence classes of free actions in terms of algebraic invariants that involve Nielsen equivalence. This is applied to describe the sets of free actions in various cases, including a complete classification for many (and conjecturally all) cases above the minimum genus. For abelian groups, the free actions are classified for all genera.
Keywords
Cite
@article{arxiv.math/0411624,
title = {Orientation-reversing free actions on handlebodies},
author = {Antonio F. Costa and Darryl McCullough},
journal= {arXiv preprint arXiv:math/0411624},
year = {2007}
}