The vanishing of the contact invariant in the presence of torsion

2007/06/12 by Paolo Ghiggini, Ghiggini, Paolo, Ko Honda +3 · 4 citations
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.0706.1602

openalex publication_date 2007/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• The contact invariant in sutured Floer homology

Cited by

• Non-fibered strongly quasipositive links and tightness
• Bordered contact invariants and half Giroux torsion
• Giroux torsion and twisted coefficients
• Holomorphic Curves in Blown Up Open Books

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