The vanishing of the contact invariant in the presence of torsion

Abstract

We prove that the Ozsvath-Szabo contact invariant of a closed contact 3-manifold with positive Giroux torsion vanishes.

6 pages, 1 figure

References in corpus (3)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Giroux torsion and twisted coefficients
• The contact invariant in sutured Floer homology

Cited by in corpus (8)

• Contact structures, sutured Floer homology and TQFT
• Giroux torsion and twisted coefficients
• The contact invariant in sutured Floer homology
• On symplectic fillings of spinal open book decompositions II: Holomorphic curves and classification
• SU(2) representations and a large surgery formula
• 4-dimensional aspects of tight contact 3-manifolds
• On invariants for Legendrian knots
• Torsion and Open Book Decompositions