Incompressible one-sided surfaces in filled link spaces

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dc.creatorBartolini, Loretta
dc.date2008-07-30
dc.date.accessioned2026-07-07T09:53:41Z
dc.date.available2026-07-07T09:53:41Z
dc.descriptionWhen a Dehn filled link manifold contains a geometrically incompressible one-sided surface, it is shown there is a unique boundary incompressible position that the surface can take in the link space. The proof uses a version of the sweep-out technique from two-sided Heegaard splitting theory. When applied to one-sided Heegaard splittings, this result can be used to complete the classification of one-sided splittings of (2p, q) fillings of Figure 8 knot space: determining that fillings with |2p/q|<3 have two non-isotopic geometrically incompressible one-sided splitting surfaces.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0807.4795
dc.identifierhttp://arxiv.org/abs/0807.4795
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166044
dc.subjectGeometric Topology
dc.subject57M27; 57N10
dc.titleIncompressible one-sided surfaces in filled link spaces
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