Fibered knots and Property 2R

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dc.creatorScharlemann, Martin
dc.creatorThompson, Abigail
dc.date2009-01-15
dc.date.accessioned2026-07-07T12:30:35Z
dc.date.available2026-07-07T12:30:35Z
dc.descriptionIt is shown, using sutured manifold theory, that if there are any 2-component counterexamples to the Generalized Property R Conjecture, then any knot of least genus among components of such counterexamples is not a fibered knot. The general question of what fibered knots might appear as a component of such a counterexample is further considered; much can be said about the monodromy of the fiber, particularly in the case in which the fiber is of genus two.
dc.description18 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0901.2319
dc.identifierhttp://arxiv.org/abs/0901.2319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216171
dc.subjectGeometric Topology
dc.subject57M25 (Primary), 57N13 (Secondary)
dc.titleFibered knots and Property 2R
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