Ozsvath-Szabo invariants and fillability of contact structures

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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.
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

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Geometric Topology, Symplectic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/70544

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403367
 http://arxiv.org/abs/math/0403367

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arXiv