Horizontal Heegaard splittings of Seifert fibered spaces

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dc.creatorJohnson, Jesse
dc.date2008-02-06
dc.date.accessioned2026-07-07T09:19:05Z
dc.date.available2026-07-07T09:19:05Z
dc.descriptionWe show that if an orientable Seifert fibered space $M$ with an orientable genus $g$ base space admits a strongly irreducible horizontal Heegaard splitting then there is a one-to-one correspondence between isotopy classes of strongly irreducible horizontal Heegaard splittings and elements of $\mathbf{Z}^{2g}$. The correspondence is determined by the slopes of intersection of each Heegaard splitting with a collection of $2g$ incompressible tori in $M$. We also show that there are Seifert fibered spaces with infinitely many non-isotopic Heegaard splittings that determine Nielsen equivalent generating systems for the fundamental group of $M$.
dc.description15 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0802.0856
dc.identifierhttp://arxiv.org/abs/0802.0856
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154261
dc.subjectGeometric Topology
dc.subject57N10
dc.titleHorizontal Heegaard splittings of Seifert fibered spaces
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