Contact Ozsvath-Szabo Invariants and Giroux Torsion
| dc.creator | Lisca, Paolo | |
| dc.creator | Stipsicz, Andras I. | |
| dc.date | 2006-04-12 | |
| dc.date | 2006-12-07 | |
| dc.date.accessioned | 2026-07-07T07:10:49Z | |
| dc.date.available | 2026-07-07T07:10:49Z | |
| dc.description | In this paper we prove a vanishing theorem for the contact Ozsvath--Szabo invariants of certain contact 3--manifolds having positive Giroux torsion. We use this result to establish similar vanishing results for contact structures with underlying 3--manifolds admitting either a torus fibration over the circle or a Seifert fibration over an orientable base. We also show -- using standard techniques from contact topology -- that if a contact 3--manifold (Y,ξ) has positive Giroux torsion then there exists a Stein cobordism from (Y,ξ) to a contact 3--manifold (Y,ξ') such that (Y,ξ) is obtained from (Y,ξ') by a Lutz modification. | |
| dc.description | 22 pages, 5 figures; rephrased abstract and introduction | |
| dc.identifier | https://arxiv.org/abs/math/0604268 | |
| dc.identifier | http://arxiv.org/abs/math/0604268 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111537 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R17; 57R57 | |
| dc.title | Contact Ozsvath-Szabo Invariants and Giroux Torsion | |
| dc.type | text |