Ozsvath-Szabo invariants and fillability of contact structures
arXiv:math/0403367
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.
An introductory section on Heegaard-Floer theory has been added, the vanishing result has been improved to cover an infinite family of weakly simplectically fillable contact structures