Holomorphic disks and three-manifold invariants: properties and applications
| dc.creator | Ozsvath, Peter | |
| dc.creator | Szabo, Zoltan | |
| dc.date | 2001-05-24 | |
| dc.date | 2003-03-11 | |
| dc.date.accessioned | 2026-07-07T04:41:50Z | |
| dc.date.available | 2026-07-07T04:41:50Z | |
| dc.description | In an earlier paper (math.SG/0101206), we introduced Floer homology theories associated to closed, oriented three-manifolds Y and SpinC structures. In the present paper, we give calculations and study the properties of these invariants. The calculations suggest a conjectured relationship with Seiberg-Witten theory. The properties include a relationship between the Euler characteristics of these theories and Turaev's torsion, a relationship with the minimal genus problem (Thurston norm), and surgery exact sequences. We also include some applications of these techniques to three-manifold topology. | |
| dc.description | 87 pages, 12 figures. To appear in Annals of Mathematics. Reorganized both this paper and its prequel, math.SG/0101206 | |
| dc.identifier | https://arxiv.org/abs/math/0105202 | |
| dc.identifier | http://arxiv.org/abs/math/0105202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61527 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Holomorphic disks and three-manifold invariants: properties and applications | |
| dc.type | text |