Ozsvath-Szabo invariants and fillability of contact structures

Mathematics – Geometric Topology

Scientific paper

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An introductory section on Heegaard-Floer theory has been added, the vanishing result has been improved to cover an infinite f

Scientific paper

In this article we provide an infinite family of weakly symplectically
fillable contact structures with trivial Ozsvath-Szabo contact invariants over
Z/2Z. As a consequence of this fact, we show how Heegaard-Floer theory can
distinguish between weakly and strongly fillable contact structures.

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