Abstract
In this paper we prove a vanishing theorem for the contact Ozsváth–Szabó invariants of certain contact 3–manifolds having positive Giroux torsion. We use this result to establish similar vanishing results for contact structures with underlying 3–manifolds admitting either a torus fibration over or a Seifert fibration over an orientable base. We also show – using standard techniques from contact topology – that if a contact 3–manifold has positive Giroux torsion then there exists a Stein cobordism from to a contact 3–manifold such that is obtained from by a Lutz modification.
Citation
Paolo Lisca. Andras I Stipsicz. "Contact Ozsváth–Szabó invariants and Giroux torsion." Algebr. Geom. Topol. 7 (3) 1275 - 1296, 2007. https://doi.org/10.2140/agt.2007.7.1275
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