Open book decompositions for contact structures on Brieskorn manifolds.

Klaus Niederkrüger (1) , Otto van Koert (1)

1 Mathematisches Institut

In this paper, we give an open book decomposition for the contact structures on some Brieskorn manifolds, in particular for the contact structures of Ustilovsky. The decomposition uses right-handed Dehn twists as conjectured by Giroux.

Domaines: Géométrie symplectique [math.SG]

Klaus Niederkrüger, Otto van Koert. Open book decompositions for contact structures on Brieskorn manifolds.. Proc. Amer. Math. Soc., 2005, 133 (2005), pp.3679-3686. ⟨10.1090/S0002-9939-05-07944-X⟩. ⟨hal-00715454⟩