Meridional rank and bridge number for a class of links
Geometric Topology
2018-03-16 v1
Abstract
We prove that links with meridional rank 3 whose 2-fold branched covers are graph manifolds are 3-bridge links. This gives a partial answer to a question by S. Cappell and J. Shaneson on the relation between the bridge numbers and meridional ranks of links. To prove this, we also show that the meridional rank of any satellite knot is at least 4.
Keywords
Cite
@article{arxiv.1510.00816,
title = {Meridional rank and bridge number for a class of links},
author = {Michel Boileau and Yeonhee Jang and Richard Weidmann},
journal= {arXiv preprint arXiv:1510.00816},
year = {2018}
}
Comments
16 pages, 15 figures