Meridional Rank of Knots Whose Exterior is a Graph Manifold
Geometric Topology
2016-08-05 v1
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.
Cite
@article{arxiv.1608.01570,
title = {Meridional Rank of Knots Whose Exterior is a Graph Manifold},
author = {Michel Boileau and Ederson Dutra and Yeonhee Jang and Richard Weidmann},
journal= {arXiv preprint arXiv:1608.01570},
year = {2016}
}
Comments
26 pages, 5 figures