Stable functions and common stabilizations of Heegaard splittings

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dc.creatorJohnson, Jesse
dc.date2007-05-25
dc.date.accessioned2026-07-07T08:03:13Z
dc.date.available2026-07-07T08:03:13Z
dc.descriptionWe present a new proof of Reidemeister and Singer's Theorem that any two Heegaard splittings of the same 3-manifold have a common stabilization. The proof leads to an upper bound on the minimal genus of a common stabilization in terms of the number of negative slope inflection points and type-two cusps in a Rubinstein-Scharlemann graphic for the two splittings.
dc.description24 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/0705.3712
dc.identifierhttp://arxiv.org/abs/0705.3712
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129498
dc.subjectGeometric Topology
dc.subject57M
dc.titleStable functions and common stabilizations of Heegaard splittings
dc.typetext

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