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Published online: 2019-05-23
Checkerboard graph monodromiesSebastian Baader, Lukas Lewark and Livio Liechti (1) Universität Bern, Switzerland
(2) Universität Bern, Switzerland
(3) Universität Bern, Switzerland
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: Positive braid, linking graph, monodromy, Artin group, Coxeter element, arborescent link
Baader Sebastian, Lewark Lukas, Liechti Livio: Checkerboard graph monodromies. Enseign. Math. 64 (2018), 65-88. doi: 10.4171/LEM/64-1/2-3