Heegaard splittings of the form H + nK

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dc.creatorMoriah, Yoav
dc.creatorSchleimer, Saul
dc.creatorSedgwick, Eric
dc.date2004-07-30
dc.date.accessioned2026-07-07T05:10:53Z
dc.date.available2026-07-07T05:10:53Z
dc.descriptionSuppose that a three-manifold M contains infinitely many distinct strongly irreducible Heegaard splittings H + nK, obtained by Haken summing the surface H with n copies of the surface K. We show that K is incompressible. All known examples, of manifolds containing infinitely many irreducible Heegaard splittings, are of this form. We also give new examples of such manifolds.
dc.description30 pages, 22 figures
dc.identifierhttps://arxiv.org/abs/math/0408002
dc.identifierhttp://arxiv.org/abs/math/0408002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72071
dc.subjectGeometric Topology
dc.subject57M99
dc.titleHeegaard splittings of the form H + nK
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