Torsion and Open Book Decompositions

Abstract

We show that if (B,π) is an open book decomposition of a contact 3-manifold (Y,ξ), then the complement of the binding B has no Giroux torsion. We also prove the sutured Heegaard-Floer c-bar invariant of the binding of an open book is non-zero.

10 pages, 5 figures

References in corpus (7)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Floer homology and surface decompositions
• Lectures on open book decompositions and contact structures
• The vanishing of the contact invariant in the presence of torsion
• Heegaard Floer invariants of Legendrian knots in contact three--manifolds
• On the contact class in Heegaard Floer homology
• On the transverse invariant for bindings of open books