On the Heegaard splittings of amalgamated 3-manifolds

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dc.creatorLi, Tao
dc.date2007-01-14
dc.date2009-03-31
dc.date.accessioned2026-07-07T12:58:16Z
dc.date.available2026-07-07T12:58:16Z
dc.descriptionWe give a combinatorial proof of a theorem first proved by Souto which says the following. Let M_1 and M_2 be simple 3-manifolds with connected boundary of genus g>0. If M_1 and M_2 are glued via a complicated map, then every minimal Heegaard splitting of the resulting closed 3-manifold is an amalgamation. This proof also provides an algorithm to find a bound on the complexity of the gluing map.
dc.descriptionThis is the version published by Geometry & Topology Monographs on 3 December 2007
dc.identifierhttps://arxiv.org/abs/math/0701395
dc.identifierhttp://arxiv.org/abs/math/0701395
dc.identifierGeom. Topol. Monogr. 12 (2007) 157-190
dc.identifierdoi:10.2140/gtm.2007.12.157
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225186
dc.subjectGeometric Topology
dc.subject57N10, 57M50
dc.titleOn the Heegaard splittings of amalgamated 3-manifolds
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