Ozsváth-Szabó invariants and fillability of contact structures
By P. Ghiggini. 2004
55 citations recorded by the source corpus.
Recently Ozsváth and Szabó defined an invariant of contact structures with values in the Heegaard-Floer homology groups. They also proved that a version of the invariant with twisted coefficients is non trivial for weakly symplectically fillable contact structures. In this article we show that their non vanishing result does not hold in general for the contact invariant with untwisted coefficients. As a consequence of this fact Heegaard-Floer theory can distinguish between weakly and strongly symplectically fillable contact structures.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d184c1ded0f9f5a3dd2e518d2aa6f12d6da4f7f4
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In Geometry and Topology
- Kenneth L. Baker
- David T. Gay
- Jeremy Van Horn-Morris
- John B. Etnyre
- Chris Wendl
- A. Stipsicz
- P. Lisca
- Lenhard L. Ng
In Mathematical Physics
- David T. Gay
- Kenneth L. Baker
- Jeremy Van Horn-Morris
- John B. Etnyre
- Chris Wendl
- A. Stipsicz
- P. Lisca
- Peter S. Ozsv'ath
Citations in the corpus
- Cabling, contact structures and mapping class monoids (2010, background): “[27]) that Strong(Σ) ⊂ HFH (Σ) and the other two inclusions follow from [36] as it is well known that a weakly fillable contact structure or one with non-vanishing Heegaard Floer invariant is tight.”
- Four-dimensional symplectic cobordisms containing three-handles (2006, background): “M5=2; 5=2/, attaching a trivial cobordism made from the symplectization of along the rest of M , to produce a symplectic 4–manifold .”