English

Checkerboard graph monodromies

Geometric Topology 2020-03-25 v2

Abstract

We associate an open book with any connected plane checkerboard graph, thus providing a common extension of the classes of prime positive braid links and positive tree-like Hopf plumbings. As an application, we prove that the link type of a prime positive braid closure is determined by the linking graph associated with that braid.

Keywords

Cite

@article{arxiv.1706.09210,
  title  = {Checkerboard graph monodromies},
  author = {Sebastian Baader and Lukas Lewark and Livio Liechti},
  journal= {arXiv preprint arXiv:1706.09210},
  year   = {2020}
}

Comments

23 pages, 12 figures; v2: minor changes and corrections. This version corresponds to the published article

R2 v1 2026-06-22T20:32:02.221Z