English

The bridge number of arborescent links with many twigs

Geometric Topology 2023-04-05 v1

Abstract

We prove the meridional rank conjecture for arborescent links associated to plane trees with the following property: all branching points carry a straight branch to at least three leaves. The proof involves an upper bound on the bridge number in terms of the maximal number of link components of the underlying tree, valid for all arborescent links.

Keywords

Cite

@article{arxiv.2008.00763,
  title  = {The bridge number of arborescent links with many twigs},
  author = {Sebastian Baader and Ryan Blair and Alexandra Kjuchukova and Filip Misev},
  journal= {arXiv preprint arXiv:2008.00763},
  year   = {2023}
}

Comments

10 pages, 12 figures, 0 footnotes