Open book decompositions for contact structures on Brieskorn manifolds

Abstract

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.

6 pages, no figures

References in corpus (1)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures

Cited by in corpus (6)

• Every contact manifold can be given a non-fillable contact structure
• The Legendrian Whitney trick
• On some examples and constructions of contact manifolds
• Brieskorn manifolds as contact branched covers of spheres
• On open book embedding of contact manifolds in the standard contact sphere
• 5-dimensional contact SO(3)-manifolds and Dehn twists