paper

Checkerboard graph monodromies

arXiv:1706.09210 · doi:10.4171/LEM/64-1/2-3

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.

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