Heegaard genus formula for Haken manifolds

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dc.creatorSchultens, Jennifer
dc.date2001-08-03
dc.date2006-05-31
dc.date.accessioned2026-07-07T06:35:25Z
dc.date.available2026-07-07T06:35:25Z
dc.descriptionGiven a 3-manifold M containing an incompressible surface Q, we obtain an inequality relating the Heegaard genus of M and the Heegaard genera of the components of M - Q. Here the sum of the genera of the components of M - Q is bounded above by a linear expression in terms of the genus of M, the Euler characteristic of Q and the number of parallelism classes of essential annuli for which representatives can be simultaneously imbedded in the components of M - Q.
dc.description21 pages, 17 figures
dc.identifierhttps://arxiv.org/abs/math/0108028
dc.identifierhttp://arxiv.org/abs/math/0108028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99789
dc.subjectGeometric Topology
dc.subject57N10
dc.titleHeegaard genus formula for Haken manifolds
dc.typetext

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