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arxiv: math/0403367 · v2 · submitted 2004-03-22 · 🧮 math.GT · math.SG

Ozsvath-Szabo invariants and fillability of contact structures

classification 🧮 math.GT math.SG
keywords contactstructuresfillableinvariantsozsvath-szaboweaklyarticleconsequence
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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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