Closed essential surfaces in the complements of large volume Berge knots

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dc.creatorBaker, Kenneth L.
dc.date2005-09-04
dc.date.accessioned2026-07-07T05:22:57Z
dc.date.available2026-07-07T05:22:57Z
dc.descriptionWe construct an algorithm that lists all closed essential surfaces in the complement of a knot that lies on the fiber of a trefoil or figure eight knot. Such knots are Berge knots and hence admit lens space surgeries. Furthermore they may have arbitrarily large hyperbolic volume. Using this algorithm we concoct large volume Berge knots of two flavors: those whose complement contains arbitrarily many distinct closed essential surfaces, and those whose complement contains no closed essential surfaces.
dc.description41 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/math/0509082
dc.identifierhttp://arxiv.org/abs/math/0509082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76257
dc.subjectGeometric Topology
dc.subject57M50 (Primary), 57M25 (Secondary)
dc.titleClosed essential surfaces in the complements of large volume Berge knots
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