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Article Dans Une Revue Topology and its Applications Année : 2017

Meridional rank of knots whose exterior is a graph manifold

Résumé

We prove for a large class of knots that the meridional rank coincides with the bridge number. This class contains all knots whose exterior is a graph manifold. This gives a partial answer to a question of S. Cappell and J. Shaneson, see problem 1.11 on Kirby's list.

Dates et versions

hal-01478966 , version 1 (28-02-2017)

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Michel Boileau, Ederson Dutra, Yeonhee Jang, Richard Weidmann. Meridional rank of knots whose exterior is a graph manifold. Topology and its Applications, 2017, 228, pp.458 - 485. ⟨10.1016/j.topol.2017.06.008⟩. ⟨hal-01478966⟩
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