Heegaard splittings of sufficiently complicated 3-manifolds II: Amalgamation

Simple item page
dc.creatorBachman, David
dc.date2009-04-02
dc.date.accessioned2026-07-07T13:00:11Z
dc.date.available2026-07-07T13:00:11Z
dc.descriptionLet M_1 and M_2 be compact, orientable 3-manifolds, and M the manifold obtained by gluing some component F of \bdy M_1 to some component of \bdy M_2 by a homeomorphism ϕ. We show that when ϕis "sufficiently complicated" then (1) the amalgamation of low genus, unstabilized, boundary-unstabilized Heegaard splittings of M_i is an unstabilized splitting of M, (2) every low genus, unstabilized Heegaard splitting of M can be expressed as an amalgamation of unstabilized, boundary-unstabilized splittings of M_i, and possibly a Type II splitting of F \times I, and (3) if there is no Type II splitting in such an expression then it is unique.
dc.description16 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0904.0485
dc.identifierhttp://arxiv.org/abs/0904.0485
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225778
dc.subjectGeometric Topology
dc.subject57M99
dc.titleHeegaard splittings of sufficiently complicated 3-manifolds II: Amalgamation
dc.typetext

Files

Collections

arXiv