Ozsvath-Szabo invariants and fillability of contact structures

2004/03/22 by Paolo Ghiggini, Ghiggini, Paolo · 1 citation
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG) #math.GT #math.SG

paper · pdf · doi:10.48550/arxiv.math/0403367

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

arxiv created 2005/02/27 · arxiv updated 2009/12/01

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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• Relative Thom Conjectures, symplectic and beyond

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