Meridional Rank of Knots Whose Exterior is a Graph Manifold

Michel Boileau; Ederson Dutra; Yeonhee Jang; Richard Weidmann

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arXiv · 1608.01570

Meridional Rank of Knots Whose Exterior is a Graph Manifold

Michel Boileau·Ederson Dutra·Yeonhee Jang·Richard Weidmann

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Abstract

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.

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BibTeX RIS

Michel Boileau, Ederson Dutra, Yeonhee Jang, Richard Weidmann. 2016-08-04. Meridional Rank of Knots Whose Exterior is a Graph Manifold. https://arxiv.org/abs/1608.01570

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