On finiteness of the number of boundary slopes of immersed surfaces in 3-manifolds

Simple item page
dc.creatorHass, Joel
dc.creatorWang, Shicheng
dc.creatorZhou, Qing
dc.date2000-02-01
dc.date.accessioned2026-07-07T04:33:31Z
dc.date.available2026-07-07T04:33:31Z
dc.descriptionFor any hyperbolic 3-manifold $M$ with totally geodesic boundary, there are finitely many boundary slopes for essential immersed surfaces of a given genus. There is a uniform bound for the number of such boundary slopes if the genus of $\partial M$ or the volume of $M$ is bounded above. When the volume is bounded above, then area of $\partial M$ is bounded above and the length of closed geodesic on $\partial M$ is bounded below.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0002002
dc.identifierhttp://arxiv.org/abs/math/0002002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58605
dc.subjectGeometric Topology
dc.subject57M
dc.titleOn finiteness of the number of boundary slopes of immersed surfaces in 3-manifolds
dc.typetext

Files

Collections

arXiv