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