Ozsvath-Szabo invariants and fillability of contact structures
Geometric Topology
2007-05-23 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.math/0403367,
title = {Ozsvath-Szabo invariants and fillability of contact structures},
author = {Paolo Ghiggini},
journal= {arXiv preprint arXiv:math/0403367},
year = {2007}
}
Comments
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