A finiteness result for Heegaard splittings

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dc.creatorLustig, Martin
dc.creatorMoriah, Yoav
dc.date2002-11-18
dc.date.accessioned2026-07-07T04:53:02Z
dc.date.available2026-07-07T04:53:02Z
dc.descriptionIn this paper we show that for a given 3-manifold and a given Heegaard splitting there are finitely many preferred decomposing systems of $3g - 3$ disjoint essential disks. These are characterized by a combinatorial criterion which is a slight strengthening of Casson-Gordon's rectangle condition. This is in contrast to fact that in general there can exist infinitely many such systems of disks which satisfy just the Casson-Gordon rectangle condition.
dc.description25 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0211273
dc.identifierhttp://arxiv.org/abs/math/0211273
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65695
dc.subjectGeometric Topology
dc.subject57N25
dc.titleA finiteness result for Heegaard splittings
dc.typetext

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