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.
Cite this article
Sebastian Baader, Lukas Lewark, Livio Liechti, Checkerboard graph monodromies. Enseign. Math. 64 (2018), no. 1/2, pp. 65–88DOI 10.4171/LEM/64-1/2-3