Ozsvath-Szabo invariants and tight contact three-manifolds, II
| dc.creator | Lisca, Paolo | |
| dc.creator | Stipsicz, Andras I. | |
| dc.date | 2004-04-06 | |
| dc.date | 2004-10-11 | |
| dc.date.accessioned | 2026-07-07T05:07:13Z | |
| dc.date.available | 2026-07-07T05:07:13Z | |
| dc.description | Let p and n be positive integers with p>1, and let E(p,n) be the oriented 3-manifold obtained by performing pn(p-1)-1 surgery on a positive torus knot of type (p, pn+1). We prove that E(2,n) does not carry tight contact structures for any n, while E(p,n) carries tight contact structures for any n and any odd p. In particular, we exhibit the first infinite family of closed, oriented, irreducible 3-manifolds which do not support tight contact structures. We obtain the nonexistence results via standard methods of contact topology, and the existence results by using a quite delicate computation of contact Ozsvath-Szabo invariants. | |
| dc.description | 35 pages, 10 figures, very small changes | |
| dc.identifier | https://arxiv.org/abs/math/0404136 | |
| dc.identifier | http://arxiv.org/abs/math/0404136 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70775 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R17; 57R57 | |
| dc.title | Ozsvath-Szabo invariants and tight contact three-manifolds, II | |
| dc.type | text |