Surface bundles versus Heegaard splittings

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dc.creatorBachman, David
dc.creatorSchleimer, Saul
dc.date2002-12-06
dc.date.accessioned2026-07-07T04:53:36Z
dc.date.available2026-07-07T04:53:36Z
dc.descriptionThis paper studies Heegaard splittings of surface bundles via the curve complex of the fibre. The translation distance of the monodromy is the smallest distance it moves any vertex of the curve complex. We prove that the translation distance is bounded above in terms of the genus of any strongly irreducible Heegaard splitting. As a consequence, if a splitting surface has small genus compared to the translation distance of the monodromy, the splitting is standard.
dc.description22 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0212104
dc.identifierhttp://arxiv.org/abs/math/0212104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65916
dc.subjectGeometric Topology
dc.subject57M99
dc.titleSurface bundles versus Heegaard splittings
dc.typetext

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