Giroux torsion and twisted coefficients

Abstract

We explain the effect of applying a full Lutz twist along a pre-Lagrangian torus in a contact 3-manifold, on the contact invariant in Heegaard Floer homology with twisted coefficients.

17 pages

References in corpus (5)

• On the classification of tight contact structures I
• Contact structures, sutured Floer homology and TQFT
• The vanishing of the contact invariant in the presence of torsion
• Product Formulae for Ozsvath-Szabo 4-manifold Invariants
• The contact invariant in sutured Floer homology

Cited by in corpus (11)

• Contact structures, sutured Floer homology and TQFT
• Weak Symplectic Fillings and Holomorphic Curves
• The vanishing of the contact invariant in the presence of torsion
• Lectures on Holomorphic Curves in Symplectic and Contact Geometry
• A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds
• Infinitely many universally tight torsion free contact structures with vanishing Ozsváth-Szabó contact invariants
• Hyperbolic 3-manifolds admitting no fillable contact structures
• On symplectic fillings of spinal open book decompositions II: Holomorphic curves and classification
• Holomorphic Curves in Blown Up Open Books
• Tight contact structures on Seifert surface complements
• On invariants for Legendrian knots