Ozsvath-Szabo invariants and tight contact three-manifolds, III
| dc.creator | Lisca, Paolo | |
| dc.creator | Stipsicz, Andras I. | |
| dc.date | 2005-05-24 | |
| dc.date | 2005-07-19 | |
| dc.date.accessioned | 2026-07-07T05:20:12Z | |
| dc.date.available | 2026-07-07T05:20:12Z | |
| dc.description | We characterize L-spaces which are Seifert fibered over the 2-sphere in terms of taut foliations, transverse foliations and transverse contact structures. We give a sufficient condition for certain contact Seifert fibered 3-manifolds with e_0=-1 to have nonzero contact Ozsvath--Szabo invariants. This yields an algorithm for deciding whether a given small Seifert fibered L-space carries a contact structure with nonvanishing contact Ozsvath--Szabo invariant. As an application, we prove the existence of tight contact structures on some 3-manifolds obtained by integral surgery along a positive torus knot in the 3-sphere. Finally, we prove planarity of every contact structure on small Seifert fibered L-spaces with e_0 bigger than or equal to -1, and we discuss some consequences. | |
| dc.description | 30 pages, 7 figures; some results improved, new results on planar contact structures added | |
| dc.identifier | https://arxiv.org/abs/math/0505493 | |
| dc.identifier | http://arxiv.org/abs/math/0505493 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75294 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R17; 57R57 | |
| dc.title | Ozsvath-Szabo invariants and tight contact three-manifolds, III | |
| dc.type | text |