Checkerboard graph monodromies

  • Sebastian Baader

    Universität Bern, Switzerland
  • Lukas Lewark

    Universität Bern, Switzerland
  • Livio Liechti

    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.

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