brieskorn_open_book Open book decompositions for contact structures on Brieskorn manifolds Otto van Koert Klaus Niederkrüger http://dx.doi.org/10.1090/S0002-9939-05-07944-X Proc. Amer. Math. Soc. 133 (2005), 3679-3686. 2005 proc_ams.jpg

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.