Orientation-reversing free actions on handlebodies

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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

Geometric Topology, 57M60 (Primary), 20F05 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/73407

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411624
 http://arxiv.org/abs/math/0411624

Collections

arXiv