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Ozsvath-Szabo invariants and fillability of contact structures

Paolo Ghiggini
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Abstract

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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Paolo Ghiggini. 2005-02-27. Ozsvath-Szabo invariants and fillability of contact structures. https://arxiv.org/abs/math/0403367

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