Trefoil Plumbing

Sebastian Baader (1) , Pierre Dehornoy (2)

1 Mathematisches Institut [Bern]
2 IF - Institut Fourier

We give a criterion for an open book to contain an n-times iterated Hopf plumbing summand. As an application, we show that fibre surfaces of positive braid knots admit a trefoil plumbing structure.

Domaines: Topologie géométrique [math.GT]

Sebastian Baader, Pierre Dehornoy. Trefoil Plumbing. Proceedings of the American Mathematical Society, 2016, 144, pp.387-397. ⟨10.1090/proc/12561⟩. ⟨hal-02404318⟩