Homeomorphisms which are Dehn twists on the boundary

dc.creatorMcCullough, Darryl
dc.date2006-04-16
dc.date2009-04-23
dc.date.accessioned2026-07-07T13:07:23Z
dc.date.available2026-07-07T13:07:23Z
dc.descriptionA homeomorphism of a 3-manifold M is said to be Dehn twists on the boundary when its restriction to the boundary of M is isotopic to the identity on the complement of a collection of disjoint simple closed curves in the boundary of M. In this paper, we give various results about such collections of curves and the associated homeomorphisms. In particular, if M is compact, orientable, irreducible and the boundary of M is a single torus, and M admits a homeomorphism which is a nontrivial Dehn twist on the boundary of M, then M must be a solid torus.
dc.descriptionThis is the version published by Algebraic & Geometric Topology on 20 September 2006
dc.identifierhttps://arxiv.org/abs/math/0604358
dc.identifierhttp://arxiv.org/abs/math/0604358
dc.identifierAlgebr. Geom. Topol. 6 (2006) 1331-1340
dc.identifierdoi:10.2140/agt.2006.6.1331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228076
dc.subjectGeometric Topology
dc.subject57M99, 57R50
dc.titleHomeomorphisms which are Dehn twists on the boundary
dc.typetext

Files

Collections