Murasugi sums of Morse maps to the circle, Morse-Novikov numbers, and free genus of knots

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dc.creatorRudolph, Lee
dc.date2001-08-01
dc.date.accessioned2026-07-07T04:42:49Z
dc.date.available2026-07-07T04:42:49Z
dc.descriptionMurasugi sums can be defined as readily for Morse maps to the circle of (arbitrary) link complements in the 3-sphere as for fibrations over the circle of (fibered) link complements in the 3-sphere. As one application, I show that if a knot K has free genus m, then there is a Morse map from its complement to the circle (representing the relative homology class of a Seifert surface for K) with no more than 4m critical points.
dc.description16 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/math/0108006
dc.identifierhttp://arxiv.org/abs/math/0108006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61949
dc.subjectGeometric Topology
dc.subject57M25; 57M27
dc.titleMurasugi sums of Morse maps to the circle, Morse-Novikov numbers, and free genus of knots
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