Orientation-reversing free actions on handlebodies

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dc.creatorCosta, Antonio F.
dc.creatorMcCullough, Darryl
dc.date2004-11-28
dc.date.accessioned2026-07-07T05:14:46Z
dc.date.available2026-07-07T05:14:46Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0411624
dc.identifierhttp://arxiv.org/abs/math/0411624
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73407
dc.subjectGeometric Topology
dc.subject57M60 (Primary), 20F05 (Secondary)
dc.titleOrientation-reversing free actions on handlebodies
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